Computational Procedure of Performance Assessment of Lifetime Index of Products for the Weibull Distribution with the Progressive First-Failure-Censored Sampling Plan

Process capability analysis has been widely applied in the field of quality control to monitor the performance of industrial processes. In practice, lifetime performance index CL is a popular means to assess the performance and potential of their processes, where L is the lower specification limit. This study will apply the large-sample theory to construct a maximum likelihood estimator (MLE) of CL with the progressive first-failure-censored sampling plan under the Weibull distribution. The MLE of CL is then utilized to develop a new hypothesis testing procedure in the condition of known L

The Quasi-score statistic in quasi-likelihood model

[[abstract]]In quasi-likelihood model, we propose the quasi-score statistic to establish test procedure for testing the hypothesis that whether the link function is correct or not. In addition, fOur practical examples are given to Snow me advantage of the proposed test.[[notice]]補正完

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

[[notice]]補正完畢[[journaltype]]國外[[incitationindex]]SC

Failure-Censored Sampling Plan For The Weibull Distribution

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Characterizations Based on Conditional Expectations of Nonadjacent Order Statistics

[[notice]]補正完畢[[journaltype]]國內[[booktype]]紙本[[countrycodes]]TW

Interval Estimation of the Weibull Distribution under the Failure-Censored Sampling Plan

[[abstract]]In this paper, we provide a method for constructing an exact confidence interval for the shape parameter and an exact joint confidence region for the shape and scale parameters of the Weibull distribution under the failure-censored sampling plan. The above joint confidence region is used to obtain a conservative lower confidence bound for the reliability function. Further, an exact confidence interval and an exact joint confidence region for some interested parameters of the type I Extreme-Value distribution are also given. In addition, under the failure-censored sampling plan, we provide optimal criteria to find a best exact confidence interval for the shape parameter and a best exact joint confidence region for the shape and scale parameters. Finally, we give two examples to illustrate the proposed method.[[notice]]補正完畢[[journaltype]]國

A note on characterizations of finite mixture of geometric distributions by conditional expectation of order statistics

[[abstract]]Finite mixtures of geometric random variables X 1 and X 2 are identified in terms of relations between the best predictor of X 2:2 given X 1:2 and the functions of the failure rate (or hazard function) of the distribution. Here X 1:2 and X 2:2 denote the corresponding order statistics. In addition, we also use the relation between the mean residual life (MRL) of X 1 and the functions of the failure rate of the distribution to characterize the finite mixture of geometric distributions. The characterizing relations were motivated by the work of A. N. Ahmed and A. Y. Yehia [J. Jap. Stat. Soc. 23, No. 1, 49-55 (1993; Zbl 0782.62016)], S. N. U. A. Kirmani and S. N. Alam [Commun. Stat., Theory Methods A9, 541-547 (1980; Zbl 0454.62015)] and D. N. Shanbhag [J. Am. Stat. Assoc. 65, 1256-1259 (1970; Zbl 0224.62007)].[[notice]]補正完畢[[journaltype]]國外[[booktype]]紙本[[countrycodes]]US

An EOQ inventory model with time-varying demand and Weibull deterioration with shortages

[[abstract]]An inventory model is considered in which inventory is depleted not only by demand, but also by deterioration. Hence, in this paper, we derive the EOQ model for inventory of items that deteriorate at a Weibull-distributed rate, assuming the demand rate with a continuous function of time. Moreover, the proposed model cannot be solved directly in a closed form, thus we used the computer software IMSL MATH/LIBRARY (1989) to find the optimal reorder time. Further, we also find that the optimal procedure is independent from the form of the demand rate. Finally, we also assume that the holding cost is a continuous, non-negative and non-decreasing function of time in order to generalize the EOQ model. Moreover, four numerical examples and sensitivity analyses are provided to assess the solution procedure.[[notice]]補正完畢[[journaltype]]國

An EOQ inventory model with ramp type demand rate for items with weibull distributed deterioration

[[abstract]]We consider here an EOQ model in which inventory is depleted not only by demand, but also by deterioration at a Weibull distributed rate, assuming the demand rate with a ramp type function of time. The proposed model cannot be solved directly in a closed form, thus the computer software IMSL MATH/LIBRARY [13] has been used to find the optimal reorder time. Finally, three numerical examples and sensitivity analyses are provided to assess the solution procedure.[[notice]]本書目待補

Estimation of the Parameters of the Extreme-value Distribution under the First Failure-censored Sampling Plan

[[notice]]補正完畢[[journaltype]]國內[[booktype]]紙本[[countrycodes]]TW