A MIXTURE OF EXPONENTIAL AND IFR GAMMA DISTRIBUTIONS HAVING AN UPSIDEDOWN BATHTUB-SHAPED FAILURE RATE

Autor:	Naftali A. Langberg, Henry W. Block, Thomas H. Savits
Rok vydání:	2012
Předmět:	Statistics and Probability Exponential distribution Bathtub Statistics Mathematical analysis Gamma distribution Failure rate Management Science and Operations Research Statistics Probability and Uncertainty Industrial and Manufacturing Engineering Exponential function Mathematics
Zdroj:	Probability in the Engineering and Informational Sciences. 26:573-580
ISSN:	1469-8951 0269-9648
DOI:	10.1017/s0269964812000204
Popis:	We consider a mixture of one exponential distribution and one gamma distribution with increasing failure rate. For the right choice of parameters, it is shown that its failure rate has an upsidedown bathtub shape failure rate. We also consider a mixture of a family of exponentials and a family of gamma distributions and obtain a similar result.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::693b8ff54af98dd24f150efaa49c74f2 https://doi.org/10.1017/s0269964812000204 Zobrazit plný text záznamu