Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2026802681', 'doi': 'https://doi.org/10.2996/kmj/1138843743', 'title': 'On some limit theorems for the sums of identically distributed independent random variables', 'display_name': 'On some limit theorems for the sums of identically distributed independent random variables', 'publication_year': 1956, 'publication_date': '1956-01-01', 'ids': {'openalex': 'https://openalex.org/W2026802681', 'doi': 'https://doi.org/10.2996/kmj/1138843743', 'mag': '2026802681'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.2996/kmj/1138843743', 'pdf_url': 'https://projecteuclid.org/journals/kodai-mathematical-seminar-reports/volume-8/issue-2/On-some-limit-theorems-for-the-sums-of-identically-distributed/10.2996/kmj/1138843743.pdf', 'source': {'id': 'https://openalex.org/S10584360', 'display_name': 'Kodai Mathematical Journal', 'issn_l': '0386-5991', 'issn': ['0386-5991', '1881-5472'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310313142', 'host_organization_name': 'Tokyo Institute of Technology', 'host_organization_lineage': ['https://openalex.org/P4310313142'], 'host_organization_lineage_names': ['Tokyo Institute of Technology'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'bronze', 'oa_url': 'https://projecteuclid.org/journals/kodai-mathematical-seminar-reports/volume-8/issue-2/On-some-limit-theorems-for-the-sums-of-identically-distributed/10.2996/kmj/1138843743.pdf', 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5023176219', 'display_name': 'Masatomo Udagawa', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I145876445', 'display_name': 'University of Education, Winneba', 'ror': 'https://ror.org/00y1ekh28', 'country_code': 'GH', 'type': 'education', 'lineage': ['https://openalex.org/I145876445']}], 'countries': ['GH'], 'is_corresponding': True, 'raw_author_name': 'Masatomo Udagawa', 'raw_affiliation_strings': ['Tokyo University of Education'], 'affiliations': [{'raw_affiliation_string': 'Tokyo University of Education', 'institution_ids': ['https://openalex.org/I145876445']}]}], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5023176219'], 'corresponding_institution_ids': ['https://openalex.org/I145876445'], 'apc_list': None, 'apc_paid': None, 'fwci': 0.0, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 0, 'citation_normalized_percentile': {'value': 0.0, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 0, 'max': 64}, 'biblio': {'volume': '8', 'issue': '2', 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11720', 'display_name': 'Modeling Risk in Insurance and Finance', 'score': 0.9944, 'subfield': {'id': 'https://openalex.org/subfields/1803', 'display_name': 'Management Science and Operations Research'}, 'field': {'id': 'https://openalex.org/fields/18', 'display_name': 'Decision Sciences'}, 'domain': {'id': 'https://openalex.org/domains/2', 'display_name': 'Social Sciences'}}, 'topics': [{'id': 'https://openalex.org/T11720', 'display_name': 'Modeling Risk in Insurance and Finance', 'score': 0.9944, 'subfield': {'id': 'https://openalex.org/subfields/1803', 'display_name': 'Management Science and Operations Research'}, '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/T11152', 'display_name': 'Scaling Limits of Interacting Particle Systems', 'score': 0.9831, 'subfield': {'id': 'https://openalex.org/subfields/2610', 'display_name': 'Mathematical Physics'}, '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/T11901', 'display_name': 'Model-Based Clustering with Mixture Models', 'score': 0.9783, 'subfield': {'id': 'https://openalex.org/subfields/1702', 'display_name': 'Artificial Intelligence'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/central-limit-theorem', 'display_name': 'Central limit theorem', 'score': 0.6582139}, {'id': 'https://openalex.org/keywords/scaling-limits', 'display_name': 'Scaling Limits', 'score': 0.605093}, {'id': 'https://openalex.org/keywords/variational-inference', 'display_name': 'Variational Inference', 'score': 0.562184}, {'id': 'https://openalex.org/keywords/nonequilibrium-statistical-mechanics', 'display_name': 'Nonequilibrium Statistical Mechanics', 'score': 0.560166}, {'id': 'https://openalex.org/keywords/stochastic-loewner-evolution', 'display_name': 'Stochastic Loewner Evolution', 'score': 0.555051}, {'id': 'https://openalex.org/keywords/conformal-invariance', 'display_name': 'Conformal Invariance', 'score': 0.55343}], 'concepts': [{'id': 'https://openalex.org/C141513077', 'wikidata': 'https://www.wikidata.org/wiki/Q378542', 'display_name': 'Independent and identically distributed random variables', 'level': 3, 'score': 0.9256982}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.8932997}, {'id': 'https://openalex.org/C166785042', 'wikidata': 'https://www.wikidata.org/wiki/Q190391', 'display_name': 'Central limit theorem', 'level': 2, 'score': 0.6582139}, {'id': 'https://openalex.org/C151201525', 'wikidata': 'https://www.wikidata.org/wiki/Q177239', 'display_name': 'Limit (mathematics)', 'level': 2, 'score': 0.6339911}, {'id': 'https://openalex.org/C122123141', 'wikidata': 'https://www.wikidata.org/wiki/Q176623', 'display_name': 'Random variable', 'level': 2, 'score': 0.59637046}, {'id': 'https://openalex.org/C182514268', 'wikidata': 'https://www.wikidata.org/wiki/Q7636889', 'display_name': 'Sum of normally distributed random variables', 'level': 4, 'score': 0.4479772}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.3508802}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.3234688}, {'id': 'https://openalex.org/C105795698', 'wikidata': 'https://www.wikidata.org/wiki/Q12483', 'display_name': 'Statistics', 'level': 1, 'score': 0.32035935}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.19588035}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.2996/kmj/1138843743', 'pdf_url': 'https://projecteuclid.org/journals/kodai-mathematical-seminar-reports/volume-8/issue-2/On-some-limit-theorems-for-the-sums-of-identically-distributed/10.2996/kmj/1138843743.pdf', 'source': {'id': 'https://openalex.org/S10584360', 'display_name': 'Kodai Mathematical Journal', 'issn_l': '0386-5991', 'issn': ['0386-5991', '1881-5472'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310313142', 'host_organization_name': 'Tokyo Institute of Technology', 'host_organization_lineage': ['https://openalex.org/P4310313142'], 'host_organization_lineage_names': ['Tokyo Institute of Technology'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.2996/kmj/1138843743', 'pdf_url': 'https://projecteuclid.org/journals/kodai-mathematical-seminar-reports/volume-8/issue-2/On-some-limit-theorems-for-the-sums-of-identically-distributed/10.2996/kmj/1138843743.pdf', 'source': {'id': 'https://openalex.org/S10584360', 'display_name': 'Kodai Mathematical Journal', 'issn_l': '0386-5991', 'issn': ['0386-5991', '1881-5472'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310313142', 'host_organization_name': 'Tokyo Institute of Technology', 'host_organization_lineage': ['https://openalex.org/P4310313142'], 'host_organization_lineage_names': ['Tokyo Institute of Technology'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [{'score': 0.5, 'display_name': 'Reduced inequalities', 'id': 'https://metadata.un.org/sdg/10'}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 6, 'referenced_works': ['https://openalex.org/W2025675353', 'https://openalex.org/W2129889116', 'https://openalex.org/W2132464071', 'https://openalex.org/W2170161279', 'https://openalex.org/W2751862591', 'https://openalex.org/W4212910029'], 'related_works': ['https://openalex.org/W4245457074', 'https://openalex.org/W4240383795', 'https://openalex.org/W3198083829', 'https://openalex.org/W2955488478', 'https://openalex.org/W2347733609', 'https://openalex.org/W2323735050', 'https://openalex.org/W2299016414', 'https://openalex.org/W2292976891', 'https://openalex.org/W2066502241', 'https://openalex.org/W1908930887'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2026802681', 'counts_by_year': [], 'updated_date': '2024-08-28T04:21:35.495652', 'created_date': '2016-06-24'}