{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,4,6]],"date-time":"2024-04-06T22:00:17Z","timestamp":1712440817174},"reference-count":23,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[2008,2,1]],"date-time":"2008-02-01T00:00:00Z","timestamp":1201824000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematics and Computers in Simulation"],"published-print":{"date-parts":[[2008,2]]},"DOI":"10.1016\/j.matcom.2007.01.009","type":"journal-article","created":{"date-parts":[[2007,1,21]],"date-time":"2007-01-21T12:08:28Z","timestamp":1169381308000},"page":"34-44","source":"Crossref","is-referenced-by-count":13,"title":["Estimation of parameters of the Makeham distribution using the least squares method"],"prefix":"10.1016","volume":"77","author":[{"given":"Xinlong","family":"Feng","sequence":"first","affiliation":[]},{"given":"Guoliang","family":"He","sequence":"additional","affiliation":[]},{"family":"Abdurishit","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"issue":"3","key":"10.1016\/j.matcom.2007.01.009_bib1","doi-asserted-by":"crossref","first-page":"331","DOI":"10.1016\/S0167-6687(02)00208-1","article-title":"Risk comparisons of premium rules: optimality and a life insurance study","volume":"32","author":"Asmussena","year":"2003","journal-title":"Insur. Math. Econ."},{"issue":"4","key":"10.1016\/j.matcom.2007.01.009_bib2","doi-asserted-by":"crossref","first-page":"551","DOI":"10.2307\/1267607","article-title":"Analysis for the linear failure-rate life testing distribution","volume":"15","author":"Bain","year":"1974","journal-title":"Technometrics"},{"issue":"11","key":"10.1016\/j.matcom.2007.01.009_bib3","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1080\/03610928608829114","article-title":"Order statistics from the linear exponential distribution. I. Increasing hazard rate case","volume":"15","author":"Balakrishnan","year":"1986","journal-title":"Commun. Stat.-Theory Methods"},{"key":"10.1016\/j.matcom.2007.01.009_bib4","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1080\/00949659508811684","article-title":"Failure-censored reliability sampling plans for the exponential distribution","volume":"52","author":"Balasooriya","year":"1995","journal-title":"J. Stat. Comput. Simul."},{"key":"10.1016\/j.matcom.2007.01.009_bib5","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1016\/S0167-7152(99)00157-1","article-title":"A class of tests for exponentiality against HNBUE alternatives","volume":"47","author":"Bernhard","year":"2000","journal-title":"Stat. Probab. Lett."},{"issue":"2","key":"10.1016\/j.matcom.2007.01.009_bib6","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1007\/s10985-006-9005-1","article-title":"A comparison of models for dynamic life tables. Application to mortality data from the Valencia Region (Spain)","volume":"12","author":"Debon","year":"2006","journal-title":"Lifetime Data Anal."},{"issue":"3","key":"10.1016\/j.matcom.2007.01.009_bib7","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1002\/(SICI)1099-1638(199905\/06)15:3<235::AID-QRE212>3.0.CO;2-S","article-title":"An improved failure-free time estimation method","volume":"15","author":"Drapella","year":"1999","journal-title":"Qual. Reliab. Eng. Int."},{"key":"10.1016\/j.matcom.2007.01.009_bib8","doi-asserted-by":"crossref","first-page":"527","DOI":"10.1006\/jtbi.2001.2430","article-title":"The reliability theory of aging and longevity","volume":"213","author":"Gavrilov","year":"2001","journal-title":"J. Theor. Biol."},{"key":"10.1016\/j.matcom.2007.01.009_bib9","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1023\/B:BGEN.0000031153.63563.58","article-title":"Does Makeham make sense?","volume":"5","author":"Golubev","year":"2004","journal-title":"Biogerontology"},{"key":"10.1016\/j.matcom.2007.01.009_bib10","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1016\/S0893-9659(03)80034-4","article-title":"Unique estimation of mortality rates in Gompertz survival model parameters","volume":"16","author":"Lakshminarayanan","year":"2003","journal-title":"Appl. Math. Lett."},{"issue":"4","key":"10.1016\/j.matcom.2007.01.009_bib11","doi-asserted-by":"crossref","first-page":"729","DOI":"10.1081\/STA-120018826","article-title":"Parameter estimation for the linear hazard rate distribution based on records and inter-record times","volume":"32","author":"Lin","year":"2003","journal-title":"Commun. Stat.-Theory Methods"},{"key":"10.1016\/j.matcom.2007.01.009_bib12","doi-asserted-by":"crossref","first-page":"325","DOI":"10.1017\/S2046166600003238","article-title":"On the law of mortality and the construction of annuity tables","volume":"13","author":"Makeham","year":"2000","journal-title":"J. Inst. Actuaries"},{"key":"10.1016\/j.matcom.2007.01.009_bib13","doi-asserted-by":"crossref","first-page":"597","DOI":"10.1016\/0378-4754(95)00123-6","article-title":"Mathematical modelling of tumor growth in mice following electrotherapy and bleomycin treatment","volume":"39","author":"Miklavcic","year":"1995","journal-title":"Math. Comput. Simulat."},{"key":"10.1016\/j.matcom.2007.01.009_bib14","doi-asserted-by":"crossref","first-page":"423","DOI":"10.1016\/j.amc.2004.02.006","article-title":"Errors of misclassication and their probability distributions when the parent populations are Gompertz","volume":"163","author":"Moustafa","year":"2005","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/j.matcom.2007.01.009_bib15","doi-asserted-by":"crossref","first-page":"737","DOI":"10.1016\/j.amc.2004.09.064","article-title":"The least squares type estimation of the parameters in the power hazard function","volume":"169","author":"Mugdadi","year":"2005","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/j.matcom.2007.01.009_bib16","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1016\/0167-6687(95)00019-O","article-title":"Differential equations for moments of present values in life insurance","volume":"17","author":"Norberg","year":"1995","journal-title":"Insur. Math. Econ."},{"key":"10.1016\/j.matcom.2007.01.009_bib17","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1016\/j.matcom.2003.12.002","article-title":"Sensitivity analysis of microbial growth parameter distributions with respect to data quality and quantity by using Monte Carlo analysis","volume":"65","author":"Poschet","year":"2004","journal-title":"Math. Comput. Simulat."},{"key":"10.1016\/j.matcom.2007.01.009_bib18","first-page":"409","article-title":"Simulating random variates from Makeham\u2019s distribution and from others with exact or nearly Log-Concave densities","volume":"47","author":"Scollnik","year":"1995","journal-title":"Trans. Soc. Actuaries"},{"key":"10.1016\/j.matcom.2007.01.009_bib19","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1016\/0378-3758(94)00099-H","article-title":"Inference procedures for the linear failure rate model","volume":"46","author":"Sen","year":"1995","journal-title":"J. Stat. Plan. Inference"},{"key":"10.1016\/j.matcom.2007.01.009_bib20","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1016\/S0167-6687(00)00054-8","article-title":"An investigation into parametric models for mortality projections, with applications to immediate annuitants\u2019 and life office pensioners\u2019 data","volume":"27","author":"Sithole","year":"2000","journal-title":"Insur. Math. Econ."},{"key":"10.1016\/j.matcom.2007.01.009_bib21","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1016\/j.amc.2003.08.086","article-title":"Estimation of parameters of the Gompertz distribution using the least squares method","volume":"158","author":"Wu","year":"2004","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/j.matcom.2007.01.009_bib22","doi-asserted-by":"crossref","first-page":"753","DOI":"10.1007\/s11135-004-4777-4","article-title":"Optimal estimation of the parameters of the Gompertz distribution based on the doubly type II censored sample","volume":"38","author":"Wu","year":"2004","journal-title":"Qual. Quant."},{"key":"10.1016\/j.matcom.2007.01.009_bib23","doi-asserted-by":"crossref","first-page":"1657","DOI":"10.1016\/j.amc.2006.03.020","article-title":"MLE and the estimated expected test time for the two-parameter Gompertz distribution under progressive censoring with binomial removals","volume":"181","author":"Wu","year":"2006","journal-title":"Appl. Math. Comput."}],"container-title":["Mathematics and Computers in Simulation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0378475407000146?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0378475407000146?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,1,9]],"date-time":"2019-01-09T20:54:28Z","timestamp":1547067268000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0378475407000146"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,2]]},"references-count":23,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2008,2]]}},"alternative-id":["S0378475407000146"],"URL":"https:\/\/doi.org\/10.1016\/j.matcom.2007.01.009","relation":{},"ISSN":["0378-4754"],"issn-type":[{"value":"0378-4754","type":"print"}],"subject":[],"published":{"date-parts":[[2008,2]]}}}