Optimal parameter estimation of the two-parameter bathtub-shaped lifetime distribution based on a type II right censored sample

Wu JW; Wu CC; Tsai MH

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Optimal parameter estimation of the two-parameter bathtub-shaped lifetime distribution based on a type II right censored sample

机译：基于II型右删失样本的两参数浴缸形寿命分布的最优参数估计

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This paper proposes different types of exact (or approximate) confidence intervals and exact (or approximate) joint confidence regions for the parameters of the two-parameter lifetime distribution with bathtub-shaped or increasing failure rate (IFR) function based on a type II right censored sample. Moreover, we provide optimal criteria for finding a best exact (or approximate) confidence interval and a best exact (or approximate) joint confidence region among these estimations. Two examples are used to compare our proposed method to the existing approach of [Statistics & Probability Letters 49 (2000) 155]. (c) 2004 Elsevier Inc. All rights reserved.

机译：本文基于II型右图，针对具有浴缸形或增加故障率（IFR）函数的两参数寿命分布的参数，提出了不同类型的精确（或近似）置信区间和精确（或近似）联合置信区域。审查样本。此外，我们提供了用于在这些估计中找到最佳精确（或近似）置信区间和最佳精确（或近似）联合置信区域的最佳标准。使用两个示例将我们提出的方法与[Statistics＆Probability Letters 49（2000）155]的现有方法进行比较。（c）2004 Elsevier Inc.保留所有权利。

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《Applied mathematics and computation》 |2005年第2期|共13页
作者
Wu JW; Wu CC; Tsai MH;
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正文语种 eng
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bathtub-shaped; failure rate function; confidence interval; joint confidence region; censored sample; FAILURE RATE-FUNCTION; RELIABILITY; MODEL;

机译：浴缸形;失效率函数;置信区间;联合置信区域;删失样本;失效率函数;可靠性;模型;

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1. Optimal parameter estimation of the two-parameter bathtub-shaped lifetime distribution based on a type II right censored sample [J] . Wu JW, Wu CC, Tsai MH Applied mathematics and computation . 2005,第2期

机译：基于II型右删失样本的两参数浴缸形寿命分布的最优参数估计
2. Point and interval estimation for the two-parameter Birnbaum–Saunders distribution based on Type-II censored samples [J] . H.K.T. Ng, D. Kundu, N. Balakrishnan Computational statistics & data analysis . 2006,第11期

机译：基于II型删失样本的两参数Birnbaum–Saunders分布的点和区间估计
3. Optimal Estimation of the Parameters of the Gompertz Distribution Based on the Doubly Type II Censored Sample [J] . Jong-Wuu Wu, Pia-Ling Li Quality and Quantity . 2004,第6期

机译：基于双重II类删失样本的Gompertz分布参数的最优估计
4. Empirical Bayes Estimation of Parameters from Burr-X II Distribution Based on Progressively Type-II Censored Samples [C] . YIMIN SHI, LIN WANG International Conference on Mathematical Methods in Reliability . 2011

机译：基于逐步型II官样品的BuRR-X II分布参数的经验贝叶斯估算
5. Reliability Inference for the Multicomponent Stress-Strength System Under the Generalized Pareto Distribution Based on Progressively Type-II Censored Samples [D] . ?Sauer, Lauren 2020

机译：基于逐步类型II缩醛样品的广义静脉分布下多组分应力系统的可靠性推断
6. Weighted Moments Estimators of the Parameters for the Extreme Value Distribution Based on the Multiply Type II Censored Sample [O] . Jong-Wuu Wu, Sheau-Chiann Chen, Wen-Chuan Lee, 2013

机译：基于乘积类型II删失样本的极值分布参数的加权矩估计
7. On Bayesian estimation from two parameter Bathtub-Shaped lifetime distribution based on progressive first-failure-censored sampling [O] . Nooshin Javadkhani, Parvin Azhdari, Reza Azimi 2014

机译：基于渐进式第一失败的抽样的两个参数浴缸形寿命分布的贝叶斯估计
8. Inferences for the Two-Parameter Exponential Distribution Under Type 1 Censored Sampling. [R] . Wright, F. T., Engelhardt, M., Bain, L. J. 1977

机译：1型截尾采样下双参数指数分布的推论。

Optimal parameter estimation of the two-parameter bathtub-shaped lifetime distribution based on a type II right censored sample

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