Sequential Test for a Mixture of Finite Exponential Distribution

Finite mixture models for exponential repeated data

The analysis of finite mixture models for exponential repeated data is considered. The mixture components correspond to different possible states of the statistical units. Dependency and variability of repeated data are taken into account through random effects. For each component, an exponential mixed model is thus defined. When considering parameter estimation in this mixture of exponential m...

Sequential-Based Approach for Estimating the Stress-Strength Reliability Parameter for Exponential Distribution

In this paper, two-stage and purely sequential estimation procedures are considered to construct fixed-width confidence intervals for the reliability parameter under the stress-strength model when the stress and strength are independent exponential random variables with different scale parameters. The exact distribution of the stopping rule under the purely sequential procedure is approximated ...

Screening for a Multivariate Mixture Normal Distribution

Risk of Sequential Estimator of the Failure Rate of Exponential Distribution under Convex Boundary

In this paper the exact determination of the distribution of stopping variable, the moment and risk of sequential estimator of the failure rate of exponential distribution, under convex boundary is obtained. The corresponding Poisson Process is used to derive the exact distribution of stopping variable of sequential estimator of the failure rate. In the end the exact values of mean and risk ...

The EM Algorithm for the Finite Mixture of Exponential Distribution Models

In this paper, we first propose a finite mixture of exponential distribution model with parametric functions. By using the local constant fitting, the local maximum likelihood estimations of parametric functions are obtained, and their asymptotic biases and asymptotic variances are discussed. Moreover, we propose the EM algorithm to carry out the estimation procedure and give the ascent propert...