A Group Acceptance Sampling Plans for Lifetimes Following a Marshall-Olkin Extended Exponential Distribution

Double Acceptance Sampling Plans Based on Truncated Life Tests for the Marshall-Olkin Extended Exponential Distribution

In this paper, double acceptance sampling plans are developed for a truncated life test, when the lifetime of an item follows the Marshall-Olkin extended exponential distribution. The probability of acceptance is calculated for different consumer’s confidence levels fixing the producer’s risk at 0.05. The probability of acceptance and the producer’s risk are explained by means of examples. Zusa...

Estimation in Simple Step-Stress Model for the Marshall-Olkin Generalized Exponential Distribution under Type-I Censoring

This paper considers the simple step-stress model from the Marshall-Olkin generalized exponential distribution when there is time constraint on the duration of the experiment. The maximum likelihood equations for estimating the parameters assuming a cumulative exposure model with lifetimes as the distributed Marshall Olkin generalized exponential are derived. The likelihood equations do not lea...

Double Acceptance Sampling Plans Based on Truncated Life Tests for Marshall-Olkin Extended Lomax Distribution

A Discrete Kumaraswamy Marshall-Olkin Exponential Distribution

Finding new families of distributions has become a popular tool in statistical research. In this article, we introduce a new flexible four-parameter discrete model based on the Marshall-Olkin approach, namely, the discrete Kumaraswamy Marshall-Olkin exponential distribution. The proposed distribution can be viewed as another generalization of the geometric distribution and enfolds some importan...

Accelerated Life Testing Design Using Geometric Process For Marshall-Olkin Extended Exponential Distribution With Type I Censored Data

Abstract: In this paper the geometric process is used for the analysis of accelerated life testing for Marshall-Olkin Extended Exponential (MOEE) distribution using Type I censored data. Assuming that the lifetimes under increasing stress levels form a geometric process, the parameters are estimated by using the maximum likelihood method and the original parameters instead of the developing inf...