Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2897151727', 'doi': 'https://doi.org/10.1590/0001-3765201820170635', 'title': 'The Lindley Weibull Distribution: properties and applications', 'display_name': 'The Lindley Weibull Distribution: properties and applications', 'publication_year': 2018, 'publication_date': '2018-09-01', 'ids': {'openalex': 'https://openalex.org/W2897151727', 'doi': 'https://doi.org/10.1590/0001-3765201820170635', 'mag': '2897151727', 'pmid': 'https://pubmed.ncbi.nlm.nih.gov/30304208'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1590/0001-3765201820170635', 'pdf_url': 'http://www.scielo.br/pdf/aabc/v90n3/0001-3765-aabc-90-03-02579.pdf', 'source': {'id': 'https://openalex.org/S111086706', 'display_name': 'Anais da Academia Brasileira de Ciências', 'issn_l': '0001-3765', 'issn': ['0001-3765', '1678-2690'], 'is_oa': True, 'is_in_doaj': True, 'is_core': True, 'host_organization': 'https://openalex.org/P4310312019', 'host_organization_name': 'Brazilian Academy of Sciences', 'host_organization_lineage': ['https://openalex.org/P4310312019'], 'host_organization_lineage_names': ['Brazilian Academy of Sciences'], 'type': 'journal'}, 'license': 'cc-by', 'license_id': 'https://openalex.org/licenses/cc-by', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref', 'pubmed'], 'open_access': {'is_oa': True, 'oa_status': 'diamond', 'oa_url': 'http://www.scielo.br/pdf/aabc/v90n3/0001-3765-aabc-90-03-02579.pdf', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5011092077', 'display_name': 'Gauss M. Cordeiro', 'orcid': 'https://orcid.org/0000-0002-3052-6551'}, 'institutions': [{'id': 'https://openalex.org/I25112270', 'display_name': 'Universidade Federal de Pernambuco', 'ror': 'https://ror.org/047908t24', 'country_code': 'BR', 'type': 'education', 'lineage': ['https://openalex.org/I25112270']}], 'countries': ['BR'], 'is_corresponding': False, 'raw_author_name': 'GAUSS M. CORDEIRO', 'raw_affiliation_strings': ['Departamento de Estatistica, Universidade Federal de Pernambuco, Cidade Universitaria, Avenida Prof. Moraes Rego, 1235, 50740-540 Recife, PE, Brazil'], 'affiliations': [{'raw_affiliation_string': 'Departamento de Estatistica, Universidade Federal de Pernambuco, Cidade Universitaria, Avenida Prof. Moraes Rego, 1235, 50740-540 Recife, PE, Brazil', 'institution_ids': ['https://openalex.org/I25112270']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5090850000', 'display_name': 'Ahmed Z. Afify', 'orcid': 'https://orcid.org/0000-0002-6723-6785'}, 'institutions': [{'id': 'https://openalex.org/I207547235', 'display_name': 'Benha University', 'ror': 'https://ror.org/03tn5ee41', 'country_code': 'EG', 'type': 'education', 'lineage': ['https://openalex.org/I207547235']}], 'countries': ['EG'], 'is_corresponding': False, 'raw_author_name': 'AHMED Z. AFIFY', 'raw_affiliation_strings': ['Department of Statistics, Mathematics and Insurance, Benha University, Benha, 13518 Egypt'], 'affiliations': [{'raw_affiliation_string': 'Department of Statistics, Mathematics and Insurance, Benha University, Benha, 13518 Egypt', 'institution_ids': ['https://openalex.org/I207547235']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5036983324', 'display_name': 'Haitham M. Yousof', 'orcid': 'https://orcid.org/0000-0003-4589-4944'}, 'institutions': [{'id': 'https://openalex.org/I207547235', 'display_name': 'Benha University', 'ror': 'https://ror.org/03tn5ee41', 'country_code': 'EG', 'type': 'education', 'lineage': ['https://openalex.org/I207547235']}], 'countries': ['EG'], 'is_corresponding': False, 'raw_author_name': 'HAITHAM M. YOUSOF', 'raw_affiliation_strings': ['Department of Statistics, Mathematics and Insurance, Benha University, Benha, 13518 Egypt'], 'affiliations': [{'raw_affiliation_string': 'Department of Statistics, Mathematics and Insurance, Benha University, Benha, 13518 Egypt', 'institution_ids': ['https://openalex.org/I207547235']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5030278511', 'display_name': 'Selen Çakmakyapan', 'orcid': 'https://orcid.org/0000-0002-1878-2181'}, 'institutions': [{'id': 'https://openalex.org/I57913696', 'display_name': 'Istanbul Medeniyet University', 'ror': 'https://ror.org/05j1qpr59', 'country_code': 'TR', 'type': 'education', 'lineage': ['https://openalex.org/I57913696']}], 'countries': ['TR'], 'is_corresponding': False, 'raw_author_name': 'SELEN CAKMAKYAPAN', 'raw_affiliation_strings': ['Department of Statistics, Istanbul Medeniyet University, 34700 Istanbul, Turkey'], 'affiliations': [{'raw_affiliation_string': 'Department of Statistics, Istanbul Medeniyet University, 34700 Istanbul, Turkey', 'institution_ids': ['https://openalex.org/I57913696']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5012580630', 'display_name': 'Gamze Özel', 'orcid': 'https://orcid.org/0000-0003-3886-3074'}, 'institutions': [{'id': 'https://openalex.org/I66514158', 'display_name': 'Hacettepe University', 'ror': 'https://ror.org/04kwvgz42', 'country_code': 'TR', 'type': 'education', 'lineage': ['https://openalex.org/I66514158']}], 'countries': ['TR'], 'is_corresponding': False, 'raw_author_name': 'GAMZE OZEL', 'raw_affiliation_strings': ['Department of Statistics, Hacettepe University, 68000 Ankara, Turkey'], 'affiliations': [{'raw_affiliation_string': 'Department of Statistics, Hacettepe University, 68000 Ankara, Turkey', 'institution_ids': ['https://openalex.org/I66514158']}]}], 'institution_assertions': [], 'countries_distinct_count': 3, 'institutions_distinct_count': 4, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': {'value': 0, 'currency': 'USD', 'value_usd': 0, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 3.787, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 31, 'citation_normalized_percentile': {'value': 0.999816, 'is_in_top_1_percent': True, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 94, 'max': 95}, 'biblio': {'volume': '90', 'issue': '3', 'first_page': '2579', 'last_page': '2598'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10968', 'display_name': 'Statistical Distribution Estimation and Applications', 'score': 0.9999, 'subfield': {'id': 'https://openalex.org/subfields/2613', 'display_name': 'Statistics and Probability'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T10968', 'display_name': 'Statistical Distribution Estimation and Applications', 'score': 0.9999, 'subfield': {'id': 'https://openalex.org/subfields/2613', 'display_name': 'Statistics and Probability'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10928', 'display_name': 'Probabilistic and Robust Engineering Design', 'score': 0.9705, 'subfield': {'id': 'https://openalex.org/subfields/1804', 'display_name': 'Statistics, Probability and Uncertainty'}, 'field': {'id': 'https://openalex.org/fields/18', 'display_name': 'Decision Sciences'}, 'domain': {'id': 'https://openalex.org/domains/2', 'display_name': 'Social Sciences'}}, {'id': 'https://openalex.org/T13125', 'display_name': 'Agricultural pest management studies', 'score': 0.9638, 'subfield': {'id': 'https://openalex.org/subfields/1110', 'display_name': 'Plant Science'}, 'field': {'id': 'https://openalex.org/fields/11', 'display_name': 'Agricultural and Biological Sciences'}, 'domain': {'id': 'https://openalex.org/domains/1', 'display_name': 'Life Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/quantile', 'display_name': 'Quantile', 'score': 0.7147502}, {'id': 'https://openalex.org/keywords/exponentiated-weibull-distribution', 'display_name': 'Exponentiated Weibull distribution', 'score': 0.65512013}, {'id': 'https://openalex.org/keywords/quantile-function', 'display_name': 'Quantile function', 'score': 0.56450343}, {'id': 'https://openalex.org/keywords/bathtub', 'display_name': 'Bathtub', 'score': 0.56216455}], 'concepts': [{'id': 'https://openalex.org/C173291955', 'wikidata': 'https://www.wikidata.org/wiki/Q732332', 'display_name': 'Weibull distribution', 'level': 2, 'score': 0.86587536}, {'id': 'https://openalex.org/C118671147', 'wikidata': 'https://www.wikidata.org/wiki/Q578714', 'display_name': 'Quantile', 'level': 2, 'score': 0.7147502}, {'id': 'https://openalex.org/C95770405', 'wikidata': 'https://www.wikidata.org/wiki/Q5421539', 'display_name': 'Exponentiated Weibull distribution', 'level': 3, 'score': 0.65512013}, {'id': 'https://openalex.org/C28826006', 'wikidata': 'https://www.wikidata.org/wiki/Q33521', 'display_name': 'Applied mathematics', 'level': 1, 'score': 0.6316431}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.5685765}, {'id': 'https://openalex.org/C47121976', 'wikidata': 'https://www.wikidata.org/wiki/Q3489473', 'display_name': 'Quantile function', 'level': 4, 'score': 0.56450343}, {'id': 'https://openalex.org/C2777728836', 'wikidata': 'https://www.wikidata.org/wiki/Q152095', 'display_name': 'Bathtub', 'level': 2, 'score': 0.56216455}, {'id': 'https://openalex.org/C44082924', 'wikidata': 'https://www.wikidata.org/wiki/Q1767128', 'display_name': 'Order statistic', 'level': 2, 'score': 0.5578709}, {'id': 'https://openalex.org/C49781872', 'wikidata': 'https://www.wikidata.org/wiki/Q1045555', 'display_name': 'Maximum likelihood', 'level': 2, 'score': 0.52840674}, {'id': 'https://openalex.org/C2780598303', 'wikidata': 'https://www.wikidata.org/wiki/Q65921492', 'display_name': 'Flexibility (engineering)', 'level': 2, 'score': 0.4957851}, {'id': 'https://openalex.org/C2834757', 'wikidata': 'https://www.wikidata.org/wiki/Q4925424', 'display_name': 'Monotone polygon', 'level': 2, 'score': 0.49368772}, {'id': 'https://openalex.org/C105795698', 'wikidata': 'https://www.wikidata.org/wiki/Q12483', 'display_name': 'Statistics', 'level': 1, 'score': 0.46514264}, {'id': 'https://openalex.org/C14036430', 'wikidata': 'https://www.wikidata.org/wiki/Q3736076', 'display_name': 'Function (biology)', 'level': 2, 'score': 0.41757601}, {'id': 'https://openalex.org/C110121322', 'wikidata': 'https://www.wikidata.org/wiki/Q865811', 'display_name': 'Distribution (mathematics)', 'level': 2, 'score': 0.41354147}, {'id': 'https://openalex.org/C197055811', 'wikidata': 'https://www.wikidata.org/wiki/Q207522', 'display_name': 'Probability density function', 'level': 2, 'score': 0.32989773}, {'id': 'https://openalex.org/C101796028', 'wikidata': 'https://www.wikidata.org/wiki/Q535587', 'display_name': 'Moment-generating function', 'level': 3, 'score': 0.24220842}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.10834527}, {'id': 'https://openalex.org/C95457728', 'wikidata': 'https://www.wikidata.org/wiki/Q309', 'display_name': 'History', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C78458016', 'wikidata': 'https://www.wikidata.org/wiki/Q840400', 'display_name': 'Evolutionary biology', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C86803240', 'wikidata': 'https://www.wikidata.org/wiki/Q420', 'display_name': 'Biology', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C166957645', 'wikidata': 'https://www.wikidata.org/wiki/Q23498', 'display_name': 'Archaeology', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 3, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.1590/0001-3765201820170635', 'pdf_url': 'http://www.scielo.br/pdf/aabc/v90n3/0001-3765-aabc-90-03-02579.pdf', 'source': {'id': 'https://openalex.org/S111086706', 'display_name': 'Anais da Academia Brasileira de Ciências', 'issn_l': '0001-3765', 'issn': ['0001-3765', '1678-2690'], 'is_oa': True, 'is_in_doaj': True, 'is_core': True, 'host_organization': 'https://openalex.org/P4310312019', 'host_organization_name': 'Brazilian Academy of Sciences', 'host_organization_lineage': ['https://openalex.org/P4310312019'], 'host_organization_lineage_names': ['Brazilian Academy of Sciences'], 'type': 'journal'}, 'license': 'cc-by', 'license_id': 'https://openalex.org/licenses/cc-by', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, {'is_oa': True, 'landing_page_url': 'http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652018000602579', 'pdf_url': 'https://www.scielo.br/j/aabc/a/Kp66jYgZpx4dgnhHF9zQrGx/?lang=en&format=pdf', 'source': {'id': 'https://openalex.org/S4306400786', 'display_name': 'Americanae (AECID Library)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': None, 'host_organization_name': None, 'host_organization_lineage': [], 'host_organization_lineage_names': [], 'type': 'repository'}, 'license': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, {'is_oa': False, 'landing_page_url': 'https://pubmed.ncbi.nlm.nih.gov/30304208', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306525036', 'display_name': 'PubMed', 'issn_l': None, 'issn': None, 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I1299303238', 'host_organization_name': 'National Institutes of Health', 'host_organization_lineage': ['https://openalex.org/I1299303238'], 'host_organization_lineage_names': ['National Institutes of Health'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1590/0001-3765201820170635', 'pdf_url': 'http://www.scielo.br/pdf/aabc/v90n3/0001-3765-aabc-90-03-02579.pdf', 'source': {'id': 'https://openalex.org/S111086706', 'display_name': 'Anais da Academia Brasileira de Ciências', 'issn_l': '0001-3765', 'issn': ['0001-3765', '1678-2690'], 'is_oa': True, 'is_in_doaj': True, 'is_core': True, 'host_organization': 'https://openalex.org/P4310312019', 'host_organization_name': 'Brazilian Academy of Sciences', 'host_organization_lineage': ['https://openalex.org/P4310312019'], 'host_organization_lineage_names': ['Brazilian Academy of Sciences'], 'type': 'journal'}, 'license': 'cc-by', 'license_id': 'https://openalex.org/licenses/cc-by', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': ['https://openalex.org/W4394366011'], 'versions': [], 'referenced_works_count': 33, 'referenced_works': ['https://openalex.org/W1599850012', 'https://openalex.org/W1827583244', 'https://openalex.org/W1979752425', 'https://openalex.org/W1984043109', 'https://openalex.org/W1989301939', 'https://openalex.org/W1998782763', 'https://openalex.org/W2003847861', 'https://openalex.org/W2004813946', 'https://openalex.org/W2006458583', 'https://openalex.org/W2007358648', 'https://openalex.org/W2034727126', 'https://openalex.org/W2037234972', 'https://openalex.org/W2073570371', 'https://openalex.org/W2073911314', 'https://openalex.org/W2114852361', 'https://openalex.org/W2130388500', 'https://openalex.org/W2145606257', 'https://openalex.org/W2182909841', 'https://openalex.org/W2186238461', 'https://openalex.org/W2188875001', 'https://openalex.org/W2283886739', 'https://openalex.org/W2341925878', 'https://openalex.org/W2518412864', 'https://openalex.org/W2551302888', 'https://openalex.org/W2563285174', 'https://openalex.org/W2735939896', 'https://openalex.org/W2745995281', 'https://openalex.org/W2958556832', 'https://openalex.org/W3121424686', 'https://openalex.org/W4230155399', 'https://openalex.org/W4308287148', 'https://openalex.org/W4376502702', 'https://openalex.org/W83129845'], 'related_works': ['https://openalex.org/W4382774528', 'https://openalex.org/W4322155207', 'https://openalex.org/W3136930549', 'https://openalex.org/W2938706111', 'https://openalex.org/W2911373886', 'https://openalex.org/W2790774582', 'https://openalex.org/W2607858311', 'https://openalex.org/W2495679477', 'https://openalex.org/W2333711245', 'https://openalex.org/W2031337030'], 'abstract_inverted_index': {'We': [0, 25, 74, 87], 'introduce': [1], 'a': [2, 18, 27, 56], 'new': [3, 49, 96], 'three-parameter': [4], 'lifetime': [5], 'model': [6, 72], 'called': [7], 'the': [8, 71, 80, 83, 90, 95], 'Lindley': [9], 'Weibull': [10, 61], 'distribution,': [11], 'which': [12], 'accommodates': [13], 'unimodal': [14], 'and': [15, 17, 38, 42, 45, 92], 'bathtub,': [16], 'broad': [19], 'variety': [20], 'of': [21, 30, 32, 59, 82, 94], 'monotone': [22], 'failure': [23], 'rates.': [24], 'provide': [26], 'comprehensive': [28], 'account': [29], 'some': [31], 'its': [33], 'mathematical': [34], 'properties': [35], 'including': [36], 'ordinary': [37], 'incomplete': [39], 'moments,': [40], 'quantile': [41], 'generating': [43], 'functions': [44], 'order': [46], 'statistics.': [47], 'The': [48, 63], 'density': [50], 'function': [51], 'can': [52], 'be': [53], 'expressed': [54], 'as': [55], 'linear': [57], 'combination': [58], 'exponentiated': [60], 'densities.': [62], 'maximum': [64, 84], 'likelihood': [65, 85], 'method': [66], 'is': [67], 'used': [68], 'to': [69, 78], 'estimate': [70], 'parameters.': [73], 'present': [75], 'simulation': [76], 'results': [77], 'assess': [79], 'performance': [81], 'estimation.': [86], 'prove': [88], 'empirically': [89], 'importance': [91], 'flexibility': [93], 'distribution': [97], 'in': [98], 'modeling': [99], 'two': [100], 'data': [101], 'sets.': [102]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2897151727', 'counts_by_year': [{'year': 2024, 'cited_by_count': 3}, {'year': 2023, 'cited_by_count': 3}, {'year': 2022, 'cited_by_count': 4}, {'year': 2021, 'cited_by_count': 6}, {'year': 2020, 'cited_by_count': 10}, {'year': 2019, 'cited_by_count': 2}, {'year': 2018, 'cited_by_count': 3}], 'updated_date': '2024-12-12T21:04:03.299717', 'created_date': '2018-10-26'}