{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,27]],"date-time":"2026-03-27T14:37:10Z","timestamp":1774622230087,"version":"3.50.1"},"reference-count":23,"publisher":"Informa UK Limited","issue":"4","content-domain":{"domain":["www.tandfonline.com"],"crossmark-restriction":true},"short-container-title":["Communications in Statistics - Simulation and Computation"],"published-print":{"date-parts":[[2021,4,3]]},"DOI":"10.1080\/03610918.2019.1580729","type":"journal-article","created":{"date-parts":[[2019,4,3]],"date-time":"2019-04-03T13:40:28Z","timestamp":1554298828000},"page":"1217-1230","update-policy":"https:\/\/doi.org\/10.1080\/tandf_crossmark_01","source":"Crossref","is-referenced-by-count":4,"title":["On the modes of the negative binomial distribution of order\n                    <i>k<\/i>\n                    , type I"],"prefix":"10.1080","volume":"50","author":[{"given":"Costas","family":"Georghiou","sequence":"first","affiliation":[{"name":"School of Engineering, University of Patras","place":["Patras, Greece"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Andreas N.","family":"Philippou","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Patras","place":["Patras, Greece"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zaharias M.","family":"Psillakis","sequence":"additional","affiliation":[{"name":"Department of Physics, University of Patras","place":["Patras, Greece"]}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"301","published-online":{"date-parts":[[2019,4,3]]},"reference":[{"key":"e_1_3_2_2_1","doi-asserted-by":"publisher","DOI":"10.1080\/03610926.2017.1337144"},{"key":"e_1_3_2_3_1","volume-title":"Runs and scans with applications","author":"Balakrishnan N.","year":"2002","unstructured":"Balakrishnan, N., and M. V. Koutras. 2002. Runs and scans with applications. New York: Wiley."},{"key":"e_1_3_2_4_1","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177731420"},{"key":"e_1_3_2_5_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00184-015-0558-4"},{"key":"e_1_3_2_6_1","doi-asserted-by":"publisher","DOI":"10.1080\/03610926.2017.1295078"},{"key":"e_1_3_2_7_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.spl.2017.09.007"},{"key":"e_1_3_2_8_1","volume-title":"An introduction to probability theory and its applications","author":"Feller W.","year":"1968","unstructured":"Feller, W. 1968. An introduction to probability theory and its applications. New York: Wiley."},{"key":"e_1_3_2_9_1","doi-asserted-by":"publisher","DOI":"10.1080\/00150517.2013.12427969"},{"key":"e_1_3_2_10_1","volume-title":"Fundamentals of probability with stochastic processes","author":"Ghahramani S.","year":"2016","unstructured":"Ghahramani, S. 2016. Fundamentals of probability with stochastic processes. 3rd ed. Boca Raton:Taylor and Francis.","edition":"3"},{"key":"e_1_3_2_11_1","doi-asserted-by":"publisher","DOI":"10.1016\/0167-7152(90)90006-S"},{"key":"e_1_3_2_12_1","doi-asserted-by":"publisher","DOI":"10.1080\/02664769822945"},{"key":"e_1_3_2_13_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF02530491"},{"key":"e_1_3_2_14_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11009-016-9482-y"},{"key":"e_1_3_2_15_1","doi-asserted-by":"publisher","DOI":"10.1080\/03610920601033942"},{"key":"e_1_3_2_16_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jspi.2012.07.014"},{"key":"e_1_3_2_17_1","doi-asserted-by":"publisher","DOI":"10.1080\/03610918.2016.1248570"},{"key":"e_1_3_2_18_1","doi-asserted-by":"publisher","DOI":"10.1002\/bimj.4710260719"},{"key":"e_1_3_2_19_1","doi-asserted-by":"publisher","DOI":"10.1080\/00150517.2014.12427891"},{"key":"e_1_3_2_20_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-04898-2_215"},{"key":"e_1_3_2_21_1","doi-asserted-by":"publisher","DOI":"10.1080\/00150517.1989.12429560"},{"key":"e_1_3_2_22_1","doi-asserted-by":"publisher","DOI":"10.1016\/0167-7152(83)90025-1"},{"key":"e_1_3_2_23_1","doi-asserted-by":"publisher","DOI":"10.1080\/02664763.2015.1130802"},{"key":"e_1_3_2_24_1","first-page":"455","article-title":"Comparison of certain types of continuous sampling plans (CPSs) and its operating procedures - a review","volume":"4","author":"Suresh K. K.","year":"2015","unstructured":"Suresh, K. K., and V. Nirmala. 2015. Comparison of certain types of continuous sampling plans (CPSs) and its operating procedures - a review. International Journal of Science and Research 4:455\u20139.","journal-title":"International Journal of Science and Research"}],"container-title":["Communications in Statistics - Simulation and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.tandfonline.com\/doi\/pdf\/10.1080\/03610918.2019.1580729","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,1,20]],"date-time":"2026-01-20T15:00:52Z","timestamp":1768921252000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.tandfonline.com\/doi\/full\/10.1080\/03610918.2019.1580729"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,4,3]]},"references-count":23,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2021,4,3]]}},"alternative-id":["10.1080\/03610918.2019.1580729"],"URL":"https:\/\/doi.org\/10.1080\/03610918.2019.1580729","relation":{},"ISSN":["0361-0918","1532-4141"],"issn-type":[{"value":"0361-0918","type":"print"},{"value":"1532-4141","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,4,3]]},"assertion":[{"value":"The publishing and review policy for this title is described in its Aims & Scope.","order":1,"name":"peerreview_statement","label":"Peer Review Statement"},{"value":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=lssp20","URL":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=lssp20","order":2,"name":"aims_and_scope_url","label":"Aim & Scope"},{"value":"2018-07-09","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2018-12-10","order":1,"name":"revised","label":"Revised","group":{"name":"publication_history","label":"Publication History"}},{"value":"2019-02-04","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2019-04-03","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}