Characterizations of Kumaraswamy Laplace Distribution with Applications

In this article we study a generalization of the Laplace distribution. The generalization is motivated by the recent work of Cordeiro and de Castro [

New Acceptance Sampling Plans Based on Percentiles for Exponentiated Fréchet Distribution

In this article, acceptance sampling plans are developed for the exponentiated Fréchet distribution based on percentiles when the life test is truncated at a pre-specified time. The minimum sample size necessary to ensure the specified life percentile is obtained under a given customer's risk and producer's risk simultaneously. The operating characteristic values of the sampling plans are presented. One example with real data set is also given as an illustration.

Double Acceptance Sampling Plan for Time-Truncated Life Tests Based on Half Normal Distribution

In this work, we investigate a double acceptance sampling plan (DASP) based on truncated life tests when the lifetime of a product follows the half normal distribution. By fixing the consumer’s confidence level, the minimum sample sizes of the first and second samples needful to assert the specified mean life are calculated. The operating characteristic values and the minimum ratios of the mean life to the specified life are also analyzed. Several important tables are provided and a numerical example is given to illustrate the results.

Bayesian Prediction Bounds for the Exponential-Type Distribution Based on Ordered Ranked Set Sampling

We suggest a ranked set sample method to improve Bayesian prediction intervals. The paper deals with the Bayesian prediction intervals in the context of an ordered ranked set sample from a certain class of exponential-type distributions. A proper general prior density function is used and the predictive cumulative function is obtained in the two-sample case. The special case of linear exponential distributed observations is considered and completed with numerical results.

Transmuted Erlang-Truncated Exponential Distribution

This article introduces a new lifetime distribution called the transmuted Erlang-truncated exponential (TETE) distribution. This new distribution generalizes the two parameter Erlang-truncated exponential (ETE) distribution. Closed form expressions for some of its distributional and reliability properties are provided. The method of maximum likelihood estimation was proposed for estimating the parameters of the TETE distribution. The hazard rate function of the TETE distribution can be constant, increasing or decreasing depending on the value of the transmutation parameter

Acceptance Sampling Plans Based on Truncated Lifetime Tests for Transmuted Inverse Rayleigh Distribution

In this paper, we propose acceptance sampling plans for transmuted inverse Rayleigh distribution when the lifetime time is truncated at a predetermined level. We consider various characteristics of the acceptance sampling plans such as confidence levels, acceptance numbers, ratio of the experimental time to such a specified average, minimum requisite sample size to affirm a certain mean lifetime assuming transmuted inverse Rayleigh distribution. The minimum sample size, the operating characteristic function values of the new sampling plans as well as the producer’s risk are obtained and the results are illustrated by examples.

An ARL-Unbiased np-Chart

We usually assume that counts of nonconforming items have a binomial distribution with parameters (

Solving a Functional Equation and Characterizing Distributions by Quantile Past Lifetime Functions

In this paper, a special case of Schröder's functional equation is solved. Then, the general solution of the equation is utilized to determine the class of distributions by their α-quantile past lifetime function.