Maximum Likelihood Estimation of the Bimodal Failure Rate for Censored and Tied Observations

S. T. Rachev; N. O. Kadyrova; A. Ya Yakovlev

doi:10.1080/02331888908802152

Maximum Likelihood Estimation of the Bimodal Failure Rate for Censored and Tied Observations

S. T. Rachev, N. O. Kadyrova, A. Ya Yakovlev

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Dimitrov, Rachev and Yakovlev (1985) have obtained the isotonic maximum likelihood estimator for the bimodal failure rate function. The authors considered only the complete failure time data. The generalization of this estimator for the case of censored and tied observations is now proposed.

Original language	English
Pages (from-to)	135-140
Number of pages	6
Journal	Statistics
Volume	20
Issue number	1
DOIs	https://doi.org/10.1080/02331888908802152
State	Published - Jan 1 1989

Keywords

censored data
failure rate
isotonic estimator
maximum likelihood
tied observations

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10.1080/02331888908802152

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title = "Maximum Likelihood Estimation of the Bimodal Failure Rate for Censored and Tied Observations",

abstract = "Dimitrov, Rachev and Yakovlev (1985) have obtained the isotonic maximum likelihood estimator for the bimodal failure rate function. The authors considered only the complete failure time data. The generalization of this estimator for the case of censored and tied observations is now proposed.",

keywords = "censored data, failure rate, isotonic estimator, maximum likelihood, tied observations",

author = "Rachev, {S. T.} and Kadyrova, {N. O.} and Yakovlev, {A. Ya}",

year = "1989",

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AU - Rachev, S. T.

AU - Kadyrova, N. O.

AU - Yakovlev, A. Ya

PY - 1989/1/1

Y1 - 1989/1/1

N2 - Dimitrov, Rachev and Yakovlev (1985) have obtained the isotonic maximum likelihood estimator for the bimodal failure rate function. The authors considered only the complete failure time data. The generalization of this estimator for the case of censored and tied observations is now proposed.

AB - Dimitrov, Rachev and Yakovlev (1985) have obtained the isotonic maximum likelihood estimator for the bimodal failure rate function. The authors considered only the complete failure time data. The generalization of this estimator for the case of censored and tied observations is now proposed.

KW - censored data

KW - failure rate

KW - isotonic estimator

KW - maximum likelihood

KW - tied observations

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