Abstract: Next article No AccessNew Methods in Statistical EconomicsBenoit MandelbrotBenoit Mandelbrot Search for more articles by this author PDFPDF PLUS Add to favoritesDownload CitationTrack CitationsPermissionsReprints Share onFacebookTwitterLinkedInRedditEmail SectionsMoreDetailsFiguresReferencesCited by Journal of Political Economy Volume 71, Number 5Oct., 1963 Article DOIhttps://doi.org/10.1086/258792 Views: 59Total views on this site Citations: 414Citations are reported from Crossref Copyright 1963 The University of ChicagoPDF download Crossref reports the following articles citing this article:Sung Ik Kim ARMA–GARCH model with fractional generalized hyperbolic innovations, Financial Innovation 8, no.11 (May 2022).https://doi.org/10.1186/s40854-022-00349-2Mehmet Sahiner Forecasting volatility in Asian financial markets: evidence from recursive and rolling window methods, SN Business & Economics 2, no.1010 (Sep 2022).https://doi.org/10.1007/s43546-022-00329-9Rocco Caferra, Simone Nuzzo, Andrea Morone “Less is more” or “more is better”? 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AYE CONTAGION ACROSS FINANCIAL MARKETS DURING COVID-19: A LOOK AT VOLATILITY SPILLOVERS BETWEEN THE STOCK AND FOREIGN EXCHANGE MARKETS IN SOUTH AFRICA, Annals of Financial Economics 17, no.0101 (Mar 2022).https://doi.org/10.1142/S2010495222500026Simon Godsill, Yaman Kındap Point process simulation of generalised inverse Gaussian processes and estimation of the Jaeger integral, Statistics and Computing 32, no.11 (Dec 2021).https://doi.org/10.1007/s11222-021-10072-0Paul Borochin, Stephen Rush Information networks in the financial sector and systemic risk, Journal of Banking & Finance 134 (Jan 2022): 106327.https://doi.org/10.1016/j.jbankfin.2021.106327彬彬 秦 Empirical Analysis of Carbon Neutrality Trading Data Based on GARCH Type Models, Statistics and Application 11, no.0101 (Jan 2022): 95–102.https://doi.org/10.12677/SA.2022.111011Shuang Zhao, Wanbo Lu, Muhammad Wajid Raza, Dong Yang Can Mixed-Frequency Data Improve the Higher-Order Moments Portfolio Performance?, Emerging Markets Finance and Trade 57, no.1515 (Jul 2020): 4473–4493.https://doi.org/10.1080/1540496X.2020.1785862Stefan Ritschel, Andrey G Cherstvy, Ralf Metzler Universality of delay-time averages for financial time series: analytical results, computer simulations, and analysis of historical stock-market prices, Journal of Physics: Complexity 2, no.44 (Oct 2021): 045003.https://doi.org/10.1088/2632-072X/ac2220Tirngo Dinku, Worku Gardachw, Ngozi Adeleye Price Volatility for Selected Agricultural Commodities in Ethiopia: Evidence from GARCH Models, WSEAS TRANSACTIONS ON BUSINESS AND ECONOMICS 18 (Nov 2021): 1380–1388.https://doi.org/10.37394/23207.2021.18.127Darko B. Vukovic, Kseniya A. Lapshina, Moinak Maiti Wavelet coherence analysis of returns, volatility and interdependence of the US and the EU money markets: Pre & post crisis, The North American Journal of Economics and Finance 58 (Nov 2021): 101457.https://doi.org/10.1016/j.najef.2021.101457Le Thi Minh Huong The contagion between stock markets: evidence from Vietnam and Asian emerging stocks in the context of COVID-19 Pandemic, Macroeconomics and Finance in Emerging Market Economies 6 (Oct 2021): 1–17.https://doi.org/10.1080/17520843.2021.1993653Tiantian Li, Young Shin Kim, Qi Fan, Fumin Zhu Aumann–Serrano index of risk in portfolio optimization, Mathematical Methods of Operations Research 94, no.22 (Sep 2021): 197–217.https://doi.org/10.1007/s00186-021-00753-xMohamed Maidoumi, Boubker Daafi, Mehdi Zahid, Igor Andrianov An Analysis of Asymptotic Properties and Error Control under the Exponential Jump-Diffusion Model for American Option Pricing, Journal of Applied Mathematics 2021 (Sep 2021): 1–12.https://doi.org/10.1155/2021/1049907Maarten R. C. van Oordt, Philip A. Stork, Casper G. de Vries On agricultural commodities’ extreme price risk, Extremes 24, no.33 (Feb 2021): 531–563.https://doi.org/10.1007/s10687-020-00401-3Carmen López-Martín, Sonia Benito Muela, Raquel Arguedas Efficiency in cryptocurrency markets: new evidence, Eurasian Economic Review 11, no.33 (Jul 2021): 403–431.https://doi.org/10.1007/s40822-021-00182-5Shaho Zarei, Serena Arima, Giovanna Jona Lasinio A new robust Bayesian small area estimation via ‐stable model for estimating the proportion of athletic students in California, Biometrical Journal 63, no.66 (May 2021): 1309–1324.https://doi.org/10.1002/bimj.202000235Aykut Ekinci Modelling and Forecasting of Growth Rate of New COVID-19 Cases in Top Nine Affected Countries: Considering Conditional Variance and Asymmetric Effect, Chaos, Solitons & Fractals 15 (Jul 2021): 111227.https://doi.org/10.1016/j.chaos.2021.111227Yan Qu, Angelos Dassios, Hongbiao Zhao Random Variate Generation for Exponential and Gamma Tilted Stable Distributions, ACM Transactions on Modeling and Computer Simulation 31, no.44 (Jul 2021): 1–21.https://doi.org/10.1145/3449357SUNG IK KIM, YOUNG SHIN KIM FACTOR COPULA MODEL FOR PORTFOLIO CREDIT RISK, International Journal of Theoretical and Applied Finance 24, no.0404 (Aug 2021): 2150021.https://doi.org/10.1142/S0219024921500217Paulo Ferreira, Oussama Tilfani, Éder Pereira, Cleónidas Tavares, Hernane Pereira, My Youssef El Boukfaoui Dynamic Connectivity in a Financial Network Using Time-Varying DCCA Correlation Coefficients, Econometric Research in Finance 6, no.11 (Sep 2021): 57–75.https://doi.org/10.2478/erfin-2021-0004Dorota Pekasiewicz The application of the Pareto distribution to approximate income distributions of wealthy households in Poland, Wiadomości Statystyczne. The Polish Statistician 66, no.55 (May 2021): 43–59.https://doi.org/10.5604/01.3001.0014.8865Ashish Pandey Carbon prices and emission intensity: role of autonomous improvements and price-driven changes, Journal of Sustainable Finance & Investment 68 (May 2021): 1–16.https://doi.org/10.1080/20430795.2021.1927387Rongjiang Cai, Tao Lv, Xu Deng Evaluation of Environmental Information Disclosure of Listed Companies in China’s Heavy Pollution Industries: A Text Mining-Based Methodology, Sustainability 13, no.1010 (May 2021): 5415.https://doi.org/10.3390/su13105415Éva Rácz, László Ruppert, Radim Filip Estimation of heavy tails in optical non-linear processes, New Journal of Physics 23, no.44 (Apr 2021): 043013.https://doi.org/10.1088/1367-2630/abe442Bent Flyvbjerg, Alexander Budzier, Daniel Lunn Regression to the tail: Why the Olympics blow up, Environment and Planning A: Economy and Space 53, no.22 (Sep 2020): 233–260.https://doi.org/10.1177/0308518X20958724Günter Steidle, Fritz Schick A new concept for improved quantitative analysis of reversible transverse relaxation in tissues with variable microscopic field distribution, Magnetic Resonance in Medicine 85, no.33 (Sep 2020): 1493–1506.https://doi.org/10.1002/mrm.28534Feng Wang, Xin Ye, HongTao Chen, Congxin Wu A portfolio strategy of stock market based on mean-MF-X-DMA model, Chaos, Solitons & Fractals 143 (Feb 2021): 110645.https://doi.org/10.1016/j.chaos.2020.110645Murat Körs, Mehmet Baha Karan Stock exchange volatility forecasting under market stress with MIDAS regression, International Journal of Finance & Economics 117 (Jan 2021).https://doi.org/10.1002/ijfe.2421V. V. Satyanarayana Tallapragada, M. V. Nagabhushanam, G. V. Pradeep Kumar Turbo Code with Hybrid Interleaver in the Presence of Impulsive Noise, (Aug 2020): 163–174.https://doi.org/10.1007/978-981-15-5113-0_12Alessandro Sapio Econometric modelling and forecasting of wholesale electricity prices, (Jan 2021): 595–640.https://doi.org/10.1016/B978-0-12-814712-2.00015-4Fumiya Akashi, Masanobu Taniguchi, Anna Clara Monti, Tomoyuki Amano Robust Causality Test of Infinite Variance Processes, (Jun 2021): 87–106.https://doi.org/10.1007/978-981-16-2264-9_6W. D. Walls, Jordi McKenzie Black swan models for the entertainment industry with an application to the movie business, Empirical Economics 59, no.66 (Aug 2019): 3019–3032.https://doi.org/10.1007/s00181-019-01753-xZsolt Bihary, Péter Csóka, Dávid Zoltán Szabó Spectral risk measure of holding stocks in the long run, Annals of Operations Research 295, no.11 (Jun 2020): 75–89.https://doi.org/10.1007/s10479-020-03678-6K. Jayakumar, T. Sajayan On Estimation of Geometric Stable Distributions, Journal of the Indian Society for Probability and Statistics 21, no.22 (Jun 2020): 329–347.https://doi.org/10.1007/s41096-020-00085-9Julyerme M. Tonin, Carlos M. R. Vieira, Rui M. Sousa Fragoso, João G. Martines Filho Conditional correlation and volatility between spot and futures markets for soybean and corn, Agribusiness 36, no.44 (Aug 2020): 707–724.https://doi.org/10.1002/agr.21664Faisal Nazir Zargar, Dilip Kumar Heterogeneous market hypothesis approach for modeling unbiased extreme value volatility estimator in presence of leverage effect: An individual stock level study with economic significance analysis, The Quarterly Review of Economics and Finance 77 (Aug 2020): 271–285.https://doi.org/10.1016/j.qref.2019.09.015Marina Riabiz, Tohid Ardeshiri, Ioannis Kontoyiannis, Simon Godsill Nonasymptotic Gaussian Approximation for Inference With Stable Noise, IEEE Transactions on Information Theory 66, no.88 (Aug 2020): 4966–4991.https://doi.org/10.1109/TIT.2020.2996135Paulo Ferreira, Éder J.A.L. Pereira, Hernane B.B. Pereira From Big Data to Econophysics and Its Use to Explain Complex Phenomena, Journal of Risk and Financial Management 13, no.77 (Jul 2020): 153.https://doi.org/10.3390/jrfm13070153Viorel Barbu, Chiara Benazzoli, Luca Di Persio Feedback Optimal Controllers for the Heston Model, Applied Mathematics & Optimization 81, no.33 (Aug 2018): 739–756.https://doi.org/10.1007/s00245-018-9517-6Fumiya Akashi, Masanobu Taniguchi, Anna Clara Monti Robust causality test of infinite variance processes, Journal of Econometrics 216, no.11 (May 2020): 235–245.https://doi.org/10.1016/j.jeconom.2020.01.016Semih Emre Çekin, Ashis Kumar Pradhan, Aviral Kumar Tiwari, Rangan Gupta Measuring co-dependencies of economic policy uncertainty in Latin American countries using vine copulas, The Quarterly Review of Economics and Finance 76 (May 2020): 207–217.https://doi.org/10.1016/j.qref.2019.07.004Benjamin Jansen Conditional violation of weak-form market efficiency, Managerial Finance ahead-of-print, no.ahead-of-printahead-of-print (Mar 2020).https://doi.org/10.1108/MF-06-2019-0306Niels Wesselhöfft, Wolfgang K. Härdle Risk-Constrained Kelly Portfolios Under Alpha-Stable Laws, Computational Economics 55, no.33 (Aug 2019): 801–826.https://doi.org/10.1007/s10614-019-09913-yKyungwon Kim, Jae Wook Song Analyses on volatility clustering in financial time-series using clustering indices, asymmetry, and visibility graph, IEEE Access (Jan 2020): 1–1.https://doi.org/10.1109/ACCESS.2020.3037240Anatoly V. Panyukov, Yasir Ali Mezaal Improving of the Identification Algorithm for a Quasilinear Recurrence Equation, (Jan 2021): 15–26.https://doi.org/10.1007/978-3-030-65739-0_2Bent Flyvbjerg, Alexander Budzier, Daniel Lunn Regression to the Tail: Why the Olympics Blow Up, SSRN Electronic Journal 17 (Jan 2020).https://doi.org/10.2139/ssrn.3686009Zhi-Qiang Jiang, Wen-Jie Xie, Wei-Xing Zhou, Didier Sornette Multifractal analysis of financial markets: a review, Reports on Progress in Physics 82, no.1212 (Nov 2019): 125901.https://doi.org/10.1088/1361-6633/ab42fbSimon Godsill, Marina Riabiz, Ioannis Kontoyiannis The Lévy State Space Model, (Nov 2019): 487–494.https://doi.org/10.1109/IEEECONF44664.2019.9048715Yunfeng Ge, Zhiguo Xie, Huiming Tang, Hongzhi Chen, Zishan Lin, Bin Du Determination of shear failure regions of rock joints based on point clouds and image segmentation, Engineering Geology 260 (Oct 2019): 105250.https://doi.org/10.1016/j.enggeo.2019.105250Fearghal Kearney, Han Lin Shang, Lisa Sheenan Implied Volatility Surface Predictability: The Case of Commodity Markets, Journal of Banking & Finance (Sep 2019): 105657.https://doi.org/10.1016/j.jbankfin.2019.105657Bridget Nkemnole, Olaide Abass Estimation of geometric Brownian motion model with a t-distribution–based particle filter, Journal of Economic and Financial Sciences 12, no.11 (Feb 2019).https://doi.org/10.4102/jef.v12i1.159Hossein Babazadeh, Akbar Esfahanipour A novel multi period mean-VaR portfolio optimization model considering practical constraints and transaction cost, Journal of Computational and Applied Mathematics (Feb 2019).https://doi.org/10.1016/j.cam.2018.10.039James B. Glattfelder Applied Complexity: Finance and Economics in a New Light, (Apr 2019): 215–279.https://doi.org/10.1007/978-3-030-03633-1_7Gokul Parambalath, E. Mahesh, P. Balasubramanian, P. N. Kumar Big Data Analytics: A Trading Strategy of NSE Stocks Using Bollinger Bands Analysis, (Sep 2018): 143–154.https://doi.org/10.1007/978-981-13-1274-8_11Yong Li, Wei Guo, Lu-Chun Du, Dong-Cheng Mei Subdiffusion and ergodicity breaking in heterogeneous environments subject to Lévy noise, Physica A: Statistical Mechanics and its Applications 514 (Jan 2019): 948–956.https://doi.org/10.1016/j.physa.2018.09.126Brian J. McGill, Adam Algar The what, how and why of doing macroecology, Global Ecology and Biogeography 28, no.11 (Dec 2018): 6–17.https://doi.org/10.1111/geb.12855Tuncay MORALI, Umut UYAR KIYMETLİ METALLER PİYASASININ FRAKTAL ANALİZİ, Hitit Üniversitesi Sosyal Bilimler Enstitüsü Dergisi (Dec 2018).https://doi.org/10.17218/hititsosbil.441151Marcelo Zeuli, André Carvalhal Backtesting Basel III: evaluating the market risk of past crises through the current regulation, Applied Economics 50, no.5959 (Jul 2018): 6382–6396.https://doi.org/10.1080/00036846.2018.1486020Kaijian He, Geoffrey K.F. Tso, Yingchao Zou, Jia Liu Crude oil risk forecasting: New evidence from multiscale analysis approach, Energy Economics 76 (Oct 2018): 574–583.https://doi.org/10.1016/j.eneco.2018.10.001Zsolt Bihary, Péter Csóka, Gábor Kondor A részvénytartás spektrális kockázata hosszú távon, Közgazdasági Szemle 65, no.7-87-8 (Aug 2018): 687–700.https://doi.org/10.18414/KSZ.2018.7-8.687Angelos Dassios, Yan Qu, Hongbiao Zhao Exact Simulation for a Class of Tempered Stable and Related Distributions, ACM Transactions on Modeling and Computer Simulation 28, no.33 (Aug 2018): 1–21.https://doi.org/10.1145/3184453Giorgio Calzolari, Roxana Halbleib Estimating stable latent factor models by indirect inference, Journal of Econometrics 205, no.11 (Jul 2018): 280–301.https://doi.org/10.1016/j.jeconom.2018.03.014Fumiya Akashi, Shuyang Bai, Murad S. Taqqu Robust Regression on Stationary Time Series: A Self-Normalized Resampling Approach, Journal of Time Series Analysis 39, no.33 (Mar 2018): 417–432.https://doi.org/10.1111/jtsa.12295Sung Ik Kim, Young Shin Kim Tempered stable structural model in pricing credit spread and credit default swap, Review of Derivatives Research 21, no.11 (Jul 2017): 119–148.https://doi.org/10.1007/s11147-017-9135-5Riyadh Rustam Al-Mosawi, Shahjahan Khan Estimating moments of a selected Pareto population under asymmetric scale invariant loss function, Statistical Papers 59, no.11 (Feb 2016): 183–198.https://doi.org/10.1007/s00362-016-0758-7Espen Gaarder Haug, Harald Hoff Stochastic space interval as a link between quantum randomness and macroscopic randomness?, Physica A: Statistical Mechanics and its Applications 493 (Mar 2018): 400–409.https://doi.org/10.1016/j.physa.2017.11.001Henrik Lumholdt , ( 2018): 99.https://doi.org/10.1007/978-3-319-89554-3_5John D. Levendis ARCH, GARCH and Time-Varying Variance, (Feb 2019): 197–261.https://doi.org/10.1007/978-3-319-98282-3_9Guangxi Cao, Ling-Yun He, Jie Cao Long Memory Methods and Comparative Analysis, (Feb 2018): 7–20.https://doi.org/10.1007/978-981-10-7916-0_2Guangxi Cao, Ling-Yun He, Jie Cao Multifractal Detrended Fluctuation Analysis (MF-DFA), (Feb 2018): 21–47.https://doi.org/10.1007/978-981-10-7916-0_3Clément L. Canonne, Ilias Diakonikolas, Themis Gouleakis, Ronitt Rubinfeld Testing Shape Restrictions of Discrete Distributions, Theory of Computing Systems 62, no.11 (Jun 2017): 4–62.https://doi.org/10.1007/s00224-017-9785-6A. P. Kirman Pareto as an Economist, (Feb 2018): 10019–10028.https://doi.org/10.1057/978-1-349-95189-5_1368Alan Kirman Pareto, Vilfredo (1848–1923), (Feb 2018): 10041–10059.https://doi.org/10.1057/978-1-349-95189-5_1679W. David Walls Motion Pictures, Economics of, (Feb 2018): 9164–9170.https://doi.org/10.1057/978-1-349-95189-5_1942Peng Zheng, Bin Liu, Zhongli Zhou , Discrete Dynamics in Nature and Society 2018 ( 2018): 1.https://doi.org/10.1155/2018/3051632Vinicius Brandi Short-Term Predictability of Stock Market Indexes Following Large Drawdowns and Drawups, SSRN Electronic Journal (Jan 2018).https://doi.org/10.2139/ssrn.3217419Daniel Chappell Regime Heteroskedasticity in Bitcoin: A Comparison of Markov Switching Models, SSRN Electronic Journal (Jan 2018).https://doi.org/10.2139/ssrn.3290603Te Bao, Cees Diks, Hao Li A generalized CAPM model with asymmetric power distributed errors with an application to portfolio construction, Economic Modelling 68 (Jan 2018): 611–621.https://doi.org/10.1016/j.econmod.2017.03.035Moritz Jirak On Weak Invariance Principles for Partial Sums, Journal of Theoretical Probability 30, no.33 (Feb 2016): 703–728.https://doi.org/10.1007/s10959-016-0670-zMarina Riabiz, Tohid Ardeshiri, Simon Godsill Convergence results for tractable inference in α-stable stochastic processes, (Aug 2017): 1–5.https://doi.org/10.1109/ICDSP.2017.8096140Abhinav Anand, Tiantian Li, Tetsuo Kurosaki, Young Shin Kim The equity risk posed by the too-big-to-fail banks: a Foster–Hart estimation, Annals of Operations Research 253, no.11 (Oct 2016): 21–41.https://doi.org/10.1007/s10479-016-2309-yMatylda Jab?o?ska-Sabuka, Marek Teuerle, Agnieszka Wy?oma?ska Bivariate sub-Gaussian model for stock index returns, Physica A: Statistical Mechanics and its Applications (Jun 2017).https://doi.org/10.1016/j.physa.2017.05.080Andrey G Cherstvy, Deepak Vinod, Erez Aghion, Aleksei V Chechkin, Ralf Metzler Time averaging, ageing and delay analysis of financial time series, New Journal of Physics 19, no.66 (Jun 2017): 063045.https://doi.org/10.1088/1367-2630/aa7199Thomas Pistorius , ( 2017): 27.https://doi.org/10.1007/978-3-319-55005-3_2Thomas Pistorius , ( 2017): 85.https://doi.org/10.1007/978-3-319-55005-3_3Grzegorz Żak, Marek Teuerle, Agnieszka Wyłomańska, Radosław Zimroz Measures of Dependence for α -Stable Distributed Processes and Its Application to Diagnostics of Local Damage in Presence of Impulsive Noise, Shock and Vibration 2017 (Jan 2017): 1–9.https://doi.org/10.1155/2017/1963769Andrew Maree Regulatory Requirements, Risk Management and the Equity Market in New Zealand, SSRN Electronic Journal (Jan 2017).https://doi.org/10.2139/ssrn.3013687Zi-Yi Guo Heavy-Tailed Distributions and Risk Management of Equity Market Tail Events, SSRN Electronic Journal (Jan 2017).https://doi.org/10.2139/ssrn.3013749 Tang Zhen-Peng, Chen Wei-Hong, Ran Meng, , , Microscopic characteristics of Chinese capital market based on the high frequency data of Shanghai composite index, Acta Physica Sinica 66, no.1212 (Jan 2017): 120203.https://doi.org/10.7498/aps.66.120203Sergio Ortobelli Lozza, Tommaso Lando, Filomena Petronio, Tomáš Tichý Asymptotic Multivariate Dominance: A Financial Application, Methodology and Computing in Applied Probability 18, no.44 (Jun 2016): 1097–1115.https://doi.org/10.1007/s11009-016-9502-yR Krishnan Univariate Volatility Modeling: Theory and Practice, (Dec 2016): 631–692.https://doi.org/10.1201/9781315183176-11Ma. Sofia Criselda A. Poblador, Erniel B. Barrios Control Chart for Monitoring Autocorrelated Process with Multiple Exogenous Inputs, Communications in Statistics - Simulation and Computation 45, no.99 (Nov 2014): 3373–3393.https://doi.org/10.1080/03610918.2014.944656S.Y. Novak Measures of Financial Risk, (Oct 2016): 215–237.https://doi.org/10.1002/9781118650318.ch10Phillip A. Cartwright, Natalija Riabko Further evidence on the explanatory power of spot food and energy commodities market prices for futures prices, Review of Quantitative Finance and Accounting 47, no.33 (Apr 2015): 579–605.https://doi.org/10.1007/s11156-015-0513-5Lyes Koliai Extreme risk modeling: An EVT–pair-copulas approach for financial stress tests, Journal of Banking & Finance 70 (Sep 2016): 1–22.https://doi.org/10.1016/j.jbankfin.2016.02.004Boris Salazar Trujillo Mandelbrot, Fama and the emergence of econophysics, Cuadernos de Economía 35, no.6969 (Sep 2016): 637–662.https://doi.org/10.15446/cuad.econ.v35n69.44320Sergio Ortobelli, Tommaso Lando, Filomena Petronio, Tomas Tichý Asymptotic stochastic dominance rules for sums of i.i.d. random variables, Journal of Computational and Applied Mathematics 300 (Jul 2016): 432–448.https://doi.org/10.1016/j.cam.2015.12.017Nisha Rambeerich, Athanasios A. Pantelous A high order finite element scheme for pricing options under regime switching jump diffusion processes, Journal of Computational and Applied Mathematics 300 (Jul 2016): 83–96.https://doi.org/10.1016/j.cam.2015.12.019Abhinav Anand, Tiantian Li, Tetsuo Kurosaki, Young Shin Kim Foster–Hart optimal portfolios, Journal of Banking & Finance 68 (Jul 2016): 117–130.https://doi.org/10.1016/j.jbankfin.2016.03.011Daniel Wei-Chung Miao, Hsiu-Chun Lee, Hung Chen A Standardized Normal-Laplace Mixture Distribution Fitted to Symmetric Implied Volatility Smiles, Communications in Statistics - Simulation and Computation 45, no.44 (Apr 2014): 1249–1267.https://doi.org/10.1080/03610918.2013.816559Sio Chong U, Jacky So, Deng Ding, Lihong Liu An efficient Fourier expansion method for the calculation of value-at-risk: Contributions of extra-ordinary risks, International Journal of Financial Engineering 03, no.0101 (Mar 2016): 1650006.https://doi.org/10.1142/S2424786316500067Xiang Shi, Lihua Zhang, Young S. A. Kim A Markov Chain Approximation for American Option Pricing in Tempered Stable-GARCH Models, Frontiers in Applied Mathematics and Statistics 1 (Jan 2016).https://doi.org/10.3389/fams.2015.00013Pan Zhao, Qingxian Xiao Portfolio selection problem with liquidity constraints under non-extensive statistical mechanics, Chaos, Solitons & Fractals 82 (Jan 2016): 5–10.https://doi.org/10.1016/j.chaos.2015.10.026Abhinav Anand, Tiantian Li, Tetsuo Kurosaki, Aaron Kim Foster-Hart Optimal Portfolios, SSRN Electronic Journal (Jan 2016).https://doi.org/10.2139/ssrn.2753620Abhinav Anand, Tiantian Li, Tetsuo Kurosaki, Aaron Kim The Equity Risk Posed by the Too-Big-To-Fail Banks: A Foster-Hart Estimation, SSRN Electronic Journal (Jan 2016).https://doi.org/10.2139/ssrn.2753627Sergio Ortobelli, Tomáš Tichý On the impact of semidefinite positive correlation measures in portfolio theory, Annals of Operations Research 235, no.11 (Sep 2015): 625–652.https://doi.org/10.1007/s10479-015-1962-xLucian Pasca A Critical Review of the Main Approaches on Financial Market Dynamics Modelling, Journal of Heterodox Economics 2, no.22 (Oct 2016): 151–167.https://doi.org/10.1515/jheec-2015-0017Sofia Villas-Boas, Qiuzi Fu, George Judge Is Benford’s Law a Universal Behavioral Theory?, Econometrics 3, no.44 (Oct 2015): 698–708.https://doi.org/10.3390/econometrics3040698Fumiya Akashi, Yan Liu, Masanobu Taniguchi An empirical likelihood approach for symmetric $\alpha$-stable processes, Bernoulli 21, no.44 (Nov 2015).https://doi.org/10.3150/14-BEJ636 Front Matter, (Aug 2015): i–xxiv.https://doi.org/10.1002/9781119201830.fmatterMichael R. Powers, Thomas Y. Powers Fourier-analytic measures for heavy-tailed insurance losses, Scandinavian Actuarial Journal 2015, no.66 (Jan 2014): 527–547.https://doi.org/10.1080/03461238.2013.859634G. Christopher Crawford, Patrick M. Kreiser Corporate entrepreneurship strategy: extending the integrative framework through the lens of complexity science, Small Business Economics 45, no.22 (Feb 2015): 403–423.https://doi.org/10.1007/s11187-015-9637-1Phillip A. Cartwright, Natalija Riabko Preliminary evidence on relationships between agricultural commodities futures prices, spot prices and oil prices using reverse regressions, Applied Economics Letters 22, no.1010 (Dec 2014): 777–782.https://doi.org/10.1080/13504851.2014.978066Sadra Babaei, Mohammad Mehdi Sepehri, Edris Babaei Multi-objective portfolio optimization considering the dependence structure of asset returns, European Journal of Operational Research 244, no.22 (Jul 2015): 525–539.https://doi.org/10.1016/j.ejor.2015.01.025Barret Pengyuan Shao, Svetlozar T. Rachev, Yu Mu Applied mean-ETL optimization in using earnings forecasts, International Journal of Forecasting 31, no.22 (Apr 2015): 561–567.https://doi.org/10.1016/j.ijforecast.2014.10.005Yang Li, Wei Yu Zhang, Yong Wei, Jin Hui Sun Empirical Study on the Non-Periodic Cycles of Fractal Time Series: Examples of Indices of the Chinese Stock Market, Applied Mechanics and Materials 734 (Feb 2015): 637–641.https://doi.org/10.4028/www.scientific.net/AMM.734.637Marina Riabiz, Fredrik Lindsten, Simon Godsill Pseudo-Marginal MCMC for Parameter Estimation in α-Stable Distributions**The first author acknowledges partial funding from EPSRC-DTG- 2013/EU, while the second and third authors were supported by the EPSRC BTaRoT project EP/K020153/1; the third author was also funded by the Learning of complex dynamical systems project (Contract number: 637-2014-466) from the Swedish Research Council., IFAC-PapersOnLine 48, no.2828 (Jan 2015): 472–477.https://doi.org/10.1016/j.ifacol.2015.12.173Abdelmajid Djennad, Robert Rigby, Dimitrios Stasinopoulos, Vlasios Voudouris, Paul H. C. Eilers Beyond Location and Dispersion Models: The Generalized Structural Time Series Model with Applications, SSRN Electronic Journal (Jan 2015).https://doi.org/10.2139/ssrn.2577330Xin Su, Yi Wang, Shengsen Duan, Junhai Ma Detecting Chaos from Agricultural Product Price Time Series, Entropy 16, no.1212 (Dec 2014): 6415–6433.https://doi.org/10.3390/e16126415Juan Benjamín Duarte Duarte, Juan Manuel Mascareñas Pérez-Iñigo Comprobación de la eficiencia débil en los principales mercados financieros latinoamericanos, Estudios Gerenciales 30, no.133133 (Oct 2014): 365–375.https://doi.org/10.1016/j.estger.2014.05.005Camilo Dagum Income Inequality Measures, (Sep 2014).https://doi.org/10.1002/9781118445112.stat03471Ditlev Monrad, William Stout Stable Distributions, (Sep 2014).https://doi.org/10.1002/9781118445112.stat01153Camilo Dagum Income Distribution Models, (Sep 2014).https://doi.org/10.1002/9781118445112.stat01252Andrew M. Jones, James Lomas, Nigel Rice APPLYING BETA-TYPE SIZE DISTRIBUTIONS TO HEALTHCARE COST REGRESSIONS, Journal of Applied Econometrics 29, no.44 (Jul 2013): 649–670.https://doi.org/10.1002/jae.2334Gaoge Hu, Shesheng Gao, Yongmin Zhong, Chengfan Gu Random weighting estimation of stable exponent, Metrika 77, no.44 (Jun 2013): 451–468.https://doi.org/10.1007/s00184-013-0448-6S.Y. Novak Lower bounds to the accuracy of inference on heavy tails, Bernoulli 20, no.22 (May 2014): 979–989.https://doi.org/10.3150/13-BEJ512René Carmona Univariate Data Distributions, (Nov 2013): 3–68.https://doi.org/10.1007/978-1-4614-8788-3_1René Carmona Heavy Tail Distributions, (Nov 2013): 69–120.https://doi.org/10.1007/978-1-4614-8788-3_2René Carmona Dependence & Multivariate Data Exploration, (Nov 2013): 121–195.https://doi.org/10.1007/978-1-4614-8788-3_3René Carmona Pa
Publication Year: 1963
Publication Date: 1963-10-01
Language: en
Type: article
Indexed In: ['crossref']
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