Taguchi defined product quality in a universal way by adopting a quadratic quality loss function. In 1987, Kapur and Wang addressed the problem of setting economic specification limits for processes being not capable to meet given tolerances and, therefore, product quality has to be improved by...

The well known inverse Rayleigh distribution is considered as a model for a life time random variable. The problem of acceptance sampling when the life test is truncated at a pre-assigned time is discussed. For various acceptance numbers, various confidence levels and various values of the ratio...

The distribution of the ratio is derived when X and Y are logistic and Bessel function random variables distributed independently of each other. The distribution is of interest in econometrics, and ranking and selection problems.

Reliable predictions by means of quantiles constitute one of the most important tasks not only in statistics but in entire science. Quantiles may be estimated by using Extreme- Value Theory (EVT). However, the properties of many estimators based on this theory depend heavily on the actual...

In this paper, we present a simple proof of a result, which has useful applications in the context of shock models that are important in reliability theory. Though the result can be easily proved using properties of totally positive functions, we introduce a new idea which enables us to provide...

Average run length is the most popular measure to assess the statistical performance of a control chart procedure. This paper discusses the limitations of the traditional average run length measure and introduces the concept of ‘unity’ average run length which is the ratio of the expected...

In this paper, we propose a bivariate Weibull regression models for survival time derived from the bivariate exponential distribution of Freund [Freund, Journal of the Amer. Statist. Assoc. 56: 971-77, 1961]. There are some biometrical applications which motivated to study these particular...

Control charts for high quality processes based on counting cumulative conforming items have attracted a lot of attention recently. However, such charting procedures usually apply when items are inspected one by one. There are situations that products are inspected sample by sample for practical...

In this paper, we propose a new bivariate Weibull regression model based on censored samples with common covariates. There are some interesting biometrical situations which motivate the study of a bivariate Weibull regression model of the proposed type. A procedure for obtaining the maximum...