{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:MSV6OQSJUERAIM2OBEJPOFUIMZ","short_pith_number":"pith:MSV6OQSJ","schema_version":"1.0","canonical_sha256":"64abe74249a12204334e0912f71688664aea4e490e9f6777bd16f76cb5cf5f79","source":{"kind":"arxiv","id":"1904.12459","version":1},"attestation_state":"computed","paper":{"title":"A Closed Form Approximation of Moments of New Generalization of Negative Binomial Distribution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ME","stat.TH"],"primary_cat":"math.ST","authors_text":"N. Balakrishnan, Ram C. Tripathi, Sudip Roy","submitted_at":"2019-04-29T06:03:27Z","abstract_excerpt":"In this paper, we propose a closed form approximation to the mean and variance of a new generalization of negative binomial (NGNB) distribution arising from the Extended COM-Poisson (ECOMP) distribution developed by Chakraborty and Imoto (2016)(see [4]). The NGNB is a special case of the ECOMP distribution and was named so by these authors. This distribution is more flexible in terms of the dispersion index as compared to its ordinary counterparts. It approaches the COM-Poisson distribution (Shmueli et al. 2005) [11] under suitable limiting conditions. The NGNB can also be obtained from the CO"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1904.12459","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-04-29T06:03:27Z","cross_cats_sorted":["stat.ME","stat.TH"],"title_canon_sha256":"c53a97b0ff82aa9a28c66d293e6d07e2f2a4c947865c1fbe6e3662af8da368f7","abstract_canon_sha256":"1ca8e2e4e80baafbd803852db37e1ff844a7f6ce45e36b71fa450bffbf92ab44"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:35.119109Z","signature_b64":"RxlY4FCNAcFk1rYbzbX2aKf3V1MzgHDIUs2y+oiimW3uUu0541TWdh+L9d+A1TEUE8GiL1bUhhbGwRZFuc4mDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"64abe74249a12204334e0912f71688664aea4e490e9f6777bd16f76cb5cf5f79","last_reissued_at":"2026-05-17T23:47:35.118708Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:35.118708Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Closed Form Approximation of Moments of New Generalization of Negative Binomial Distribution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ME","stat.TH"],"primary_cat":"math.ST","authors_text":"N. Balakrishnan, Ram C. Tripathi, Sudip Roy","submitted_at":"2019-04-29T06:03:27Z","abstract_excerpt":"In this paper, we propose a closed form approximation to the mean and variance of a new generalization of negative binomial (NGNB) distribution arising from the Extended COM-Poisson (ECOMP) distribution developed by Chakraborty and Imoto (2016)(see [4]). The NGNB is a special case of the ECOMP distribution and was named so by these authors. This distribution is more flexible in terms of the dispersion index as compared to its ordinary counterparts. It approaches the COM-Poisson distribution (Shmueli et al. 2005) [11] under suitable limiting conditions. The NGNB can also be obtained from the CO"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.12459","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1904.12459","created_at":"2026-05-17T23:47:35.118765+00:00"},{"alias_kind":"arxiv_version","alias_value":"1904.12459v1","created_at":"2026-05-17T23:47:35.118765+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.12459","created_at":"2026-05-17T23:47:35.118765+00:00"},{"alias_kind":"pith_short_12","alias_value":"MSV6OQSJUERA","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_16","alias_value":"MSV6OQSJUERAIM2O","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_8","alias_value":"MSV6OQSJ","created_at":"2026-05-18T12:33:24.271573+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MSV6OQSJUERAIM2OBEJPOFUIMZ","json":"https://pith.science/pith/MSV6OQSJUERAIM2OBEJPOFUIMZ.json","graph_json":"https://pith.science/api/pith-number/MSV6OQSJUERAIM2OBEJPOFUIMZ/graph.json","events_json":"https://pith.science/api/pith-number/MSV6OQSJUERAIM2OBEJPOFUIMZ/events.json","paper":"https://pith.science/paper/MSV6OQSJ"},"agent_actions":{"view_html":"https://pith.science/pith/MSV6OQSJUERAIM2OBEJPOFUIMZ","download_json":"https://pith.science/pith/MSV6OQSJUERAIM2OBEJPOFUIMZ.json","view_paper":"https://pith.science/paper/MSV6OQSJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1904.12459&json=true","fetch_graph":"https://pith.science/api/pith-number/MSV6OQSJUERAIM2OBEJPOFUIMZ/graph.json","fetch_events":"https://pith.science/api/pith-number/MSV6OQSJUERAIM2OBEJPOFUIMZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MSV6OQSJUERAIM2OBEJPOFUIMZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MSV6OQSJUERAIM2OBEJPOFUIMZ/action/storage_attestation","attest_author":"https://pith.science/pith/MSV6OQSJUERAIM2OBEJPOFUIMZ/action/author_attestation","sign_citation":"https://pith.science/pith/MSV6OQSJUERAIM2OBEJPOFUIMZ/action/citation_signature","submit_replication":"https://pith.science/pith/MSV6OQSJUERAIM2OBEJPOFUIMZ/action/replication_record"}},"created_at":"2026-05-17T23:47:35.118765+00:00","updated_at":"2026-05-17T23:47:35.118765+00:00"}