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Use of Orthogonal Polynomial Approximations for Inference in Exponential Distribution Based on K-Sample Doubly Type-II Censored Data |
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| Authors: | Deepak Sanjel N Balakrishnan |
| Institution: | 1. Department of Mathematics and Statistics , Minnesota State University , Mankato , Minnesota , USA deepak.sanjel@mnsu.edu;3. Department of Mathematics and Statistics , McMaster University , Hamilton , Canada |
| Abstract: | In this article, an EM algorithm approach to obtain the maximum likelihood estimates of parameters for analyzing bivariate skew normal data with non monotone missing values is presented. A simulation study is implemented to investigate the performance of the presented algorithm. Results of an application are also reported where a Bootstrap approach is used to find the variances of the parameter estimates. |
| Keywords: | Best linear unbiased estimators Density approximants Doubly Type-II censored samples Exponential distribution Hermite polynomials Interval estimation Laguerre polynomials Maximum likelihood estimates Symbolic computation |