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Journal of the American Statistical Association Volume 75, 1980 - Issue 370
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Theory and Method

Asymptotic Properties of a Solution to the Likelihood Equation with Life-Testing Applications

A. P. Basu Department of Statistics, University of Missouri, Columbia, MO, 65211, USA
&
J. K. Ghosh Indian Statistical Institute, Calcutta
Pages 410-414 | Received 01 Jan 1978, Published online: 12 Mar 2012

References

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  • Basu , A. P. and Borwanker , J. D. 1971 . “Some Asymptotic Results Based on Censored Data, for the Maximum Likelihood Estimators of Parameters Subject to Restraints,” . Sankhyā , 33 : 35 – 43 . Ser. A
  • Bhattacharya , R. N. and Ghosh , J. K. 1978 . “On the Validity of the Formal Edgeworth Expansion,” . Annals of Statistics , 6 : 434 – 451 .
  • Bradley , Ralph A. and Gart , John J. 1962 . “The Asymptotic Properties of ML Estimators When Sampling From Associated Populations,” . Biometrika , 49 : 205 – 214 .
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  • Feller , William . 1966 . An Introduction to Probability Theory and Its Applications , Vol. 2 , New York : John Wiley & Sons .
  • Halperin , Max . 1952 . “Maximum Likelihood Estimation in Truncated Samples,” . Annals of Mathematical Statistics , 23 : 226 – 238 .
  • Hoadley , Bruce . 1971 . “Asymptotic Properties of Maximum Likelihood Estimators for the Independent Not-Identically-Distributed Case,” . Annals of Mathematical Statistics , 42 : 1977 – 1991 .
  • Pfanzagl , J. 1973 . “Asymptotic Expansions Related to Minimum Contrast Estimators,” . Annals of Statistics , 1 : 993 – 1026 .
  • Rao , Radhakrishna C. 1965 . Linear Statistical Inference and Its Applications , New York : John Wiley & Sons .
  • Tarone , Robert Ernst . 1974 . “Asymptotic Properties of mle in the General Sampling Framework, and Some Results in Non-Normal Linear Regression,” , PhD dissertation Davis : University of California .
  • Wallace , David L. 1958 . “Asymptotic Approximations to Distributions,” . Annals of Mathematical Statistics , 29 : 635 – 654 .
  • Yang , Grace and Sirvanci , Mete . 1977 . “Estimation of a Time-truncated Exponential Parameter Used in Life Testing,” . Journal of the American Statistical Association , 72 : 444 – 447 .

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