Statistical inference for a constant-stress partially accelerated life tests based on progressively hybrid censored samples from inverted Kumaraswamy distribution

Abstract

In this article, we investigate the problem of point and interval estimations under constant-stress partially accelerated life tests. The lifetime of items under use condition is assumed to follow the two-parameter inverted Kumaraswamy distribution. Based on Type-I progressively hybrid censored samples, the maximum likelihood and Bayesian methods are applied to estimate the model parameters as well as the acceleration factor. Under linear exponential, general entropy and squared error loss functions, Bayesian method outcomes are obtained. In addition, interval estimation is achieved by finding approximately confidence intervals for the parameters, as well as credible intervals. To investigate the accuracy of the obtained estimates and to compare the performance of confidence intervals, a Monte Carlo simulation is developed. Finally, a set of real data is analyzed to demonstrate the estimation procedures.

Statistical Prediction Based on Ordered Ranked Set Sampling Using Type-II Censored Data from the Rayleigh Distribution under Progressive-Stress Accelerated Life Tests

“…It is appropriate to select θ and λ to be dependent since they are merged, as shown in (10). We presume that θ and λ are distributed according to the Lomax distribution.…”

“…Several techniques, including progressive stress, step stress, and constant stress, can be used to apply stress to ALTs. For further explanation on ALTs and PALTs, one can refer to [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15].…”

Reliability analysis of the triple modular redundancy system under step-partially accelerated life tests using Lomax distribution

“…9 . The first technique is referred to as the constant-stress ALT, which sustains a constant stress level throughout the entire lifespan of the tested products, see, for example 10 . The stress placed on a test product is continually increased over time in the second technique, which is known as the progressive-stress ALT, see, for example 11,12 .…”

“…This section is devoted to applying the step-stress PALT to the TMR system whose lifetime T is considered a random variable (with realization t) subjecting to CDF (9). The PDF, SF, and HRF of T are provided, respectively, by (10), (11), and (12). Two techniques may be used to raise the stress in the step-stress PALTs, one of them is called tampered random variable, see Ref.…”

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

“…Dey et al [7] introduced an inference on Nadarajah–Haghighi distribution with constant stress partially accelerated life tests under progressive type-II censoring. Yousef [8] presented a statistical inference for a constant-stress partially accelerated life tests based on progressively hybrid censored samples from inverted Kumaraswamy distribution. El-Sagheer et al [9] introduced inferences for stress-strength reliability model in the presence of partially accelerated life test to its strength variable.…”