Estimation of Constant Stress Partially Accelerated Life Test for Fréchet Distribution with Type-I Censoring

Abstract

Modern reliability engineering accelerated life tests (ALT) and partially accelerated life tests (PALT) are widely used to obtain the timely information on the reliability of objects, products, elements, and materials as well as to save time and cost. The ALTs or PALTs are useful in determining the failed manners of the items at routine conditions by using the information of the data generated from the experiment. PALT is the most sensible method to be used for estimating both ordinary and ALTs. In this research, constant stress PALT design for the Fréchet distribution with type-I censoring has been investigated due to a wide applicability of the Fréchet distribution in engineering problems especially in hydrology. The distribution parameters and acceleration factor are obtained by using the maximum likelihood method. Fisher's information matrix is used to develop the asymptotic confidence interval estimates of the model parameters. A simulation study is conducted to illustrate the statistical properties of the parameters and the confidence intervals by using the R software. The results indicated that the constant stress PALT plan works well. Moreover, a numerical example is given to exemplify the performance of the proposed methods.

Constant-Stress Partially Accelerated Life Testing for Weibull Inverted Exponential Distribution with Censored Data

“…Inference on Nadarajah-Haghighi distribution with constant stress PALT under progressive type-II censoring was reported by Dey S. et al [21]. Ahmadini A, et al [22] proposed estimation of constant stress PALT for Fréchet distribution with type-I censoring. Analysis of the modified Kies exponential distribution with constant stress PALTs under Type-II censoring was covered by Nassar M. and Alam FMA [23].…”

Fuzzy multicomponent stress-strength reliability in presence of partially accelerated life testing under generalized progressive hybrid censoring scheme subject to inverse Weibull model

“…Almarashi [5] introduced an estimation for constant-stress partially accelerated life tests of generalized half-logistic distribution based on progressive type-II censoring. Ahmadini et al [6] presented an estimation of constant stress partially accelerated life test for Fréchet distribution with type-I censoring. Dey et al [7] introduced an inference on Nadarajah–Haghighi distribution with constant stress partially accelerated life tests under progressive type-II censoring.…”

Utilizing Bayesian inference in accelerated testing models under constant stress via ordered ranked set sampling and hybrid censoring with practical validation

“…In the realm of estimation, Hassan et al 17 addressed the challenge of estimating parameters for the CSPALTE competing failure model, assuming a Weibull distribution and considering both types I and II censoring. Similarly, Abdullah et al 18 delved into the task of estimating parameters of Fréchet distribution within the CSPALTE framework, concentrating on type-I censoring.…”