Doubly censoring scheme, which includes left as well as right censored observations, is frequently observed in practical studies. In this paper we introduce a new interval say tracking interval for comparing the two rival models when the data are doubly censored. We obtain the asymptotic properties of maximum likelihood estimator under doubly censored data and drive a statistic for testing the ...

This paper derives a new five-parameter family of Burr type distributions based on the generalized Pearson differential equation, which is more flexible and is a natural generalization of the Burr, GB2 and many other distributions found in literature. We refer to this new distribution as the generalized Burr (GB) distribution. Some characteristics of the newly proposed distribution are given an...

A near-maximum is an observation which falls within a distance a of the maximum observation in an independent and identically distributed sample of size n. Subject to some conditions on the tail thickness of the population distribution, the number Kn(a) of nearmaxima is known to converge in probability to one or infinity, or in distribution to a shifted geometric law. In this paper we show that...

The Burr type III distribution allows for a wider region for the skewness and kurtosis plane, which covers several distributions including the log-logistic, and theWeibull and Burr type XII distributions. However, outliersmay occur in the data set. The robust regressionmethod such as an M-estimator with symmetric influence function has been successfully used to diminish the effect of outliers o...

  Spreading and coating of nano and micro droplets on solid surfaces is important in a wide variety of applications including plasma spray coating, ink jet printing, DNA synthesis and etc. In spraying processes, most of droplets collide obliquely to the surface. The purpose of this article is to study the distribution of nano and micro droplets spreading when droplets impact at an oblique a...

In general, classical methods such as maximum likelihood (ML) and least squares (LS) estimation methods are used to estimate the shape parameters of the Burr XII distribution. However, these estimators are very sensitive to the outliers. To overcome this problem we propose alternative robust estimators based on the M-estimation method for the shape parameters of the Burr XII distribution. We pr...

Log-Burr distribution is a generalization of logistic and extreme value distributions, which are important reliability models. In this paper, Bayesian approach is used to model reliability data for log-Burr model using analytic and simulation tools. Laplace approximation is implemented for approximating posterior densities of the parameters. Moreover, parallel simulation tools are also implemen...

Pearson differential equation‎. ‎This distribution is also obtained from a compounding mixture of‎ ‎distributions‎. ‎Moments‎, ‎inequality measures‎, ‎uncertainty measures and reliability measures are theoretically established‎. ‎Characterizations of MLBXII distribution are also studied via different techniques‎. ‎Parameters of MLBXII dist...