## On the Performance of the Modified Least Squares Estimators in Some Accelerated Life Testing Models Using Complete and Type II Censored Samples |

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### Contents

ASYMPTOTIC NORMALITY AND EFFICIENCY OF MODIFIED LEAST | 31 |

APPLICATIONS IN EXPONENTIAL WEIBULL AND GAMMA | 68 |

PERFORMANCE OF MODIFIED LEAST SQUARES ESTIMATORS BASED | 115 |

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### Common terms and phrases

accelerated life test AE's AE(B AE(n AE(O Al-Khayyal 27 Arrhenius model Assumption C7 asymptotic distribution asymptotic efficiencies asymptotic normality BLUE censored samples Chapter CM CM CM concomitant variables consider converges covariance matrix defined denote depends estimate the parameters exp(a exp(v exponential distribution extreme value distribution Eyring model given Hahn 19 Hence iid random variables independent inverse power law LEAST SQUARES ESTIMATORS least squares method Lemma likelihood equations likelihood function location parameter location-scale family LSE and MLE maximum likelihood estimation mean squares MLSE MODIFIED LEAST SQUARES Nelson 17 Nelson and Hahn normal with mean order statistics Philippou and Roussas power law model proof scale parameter single observation Singpurwalla and Al-Khayyal Slutsky's theorem squares of residuals stress level Table Theorem 2.2 trigamma functions Type II censored unknown parameter values of AE(a variables with mean variance a2 Weibull distribution x's are concentrated