On the Goodness of Fit Tests for the Burr Failure Model. By: Abd-Allah M. Abd-Elfattah | ||
| The Egyptian Statistical Journal | ||
| Article 2, Volume 41, Issue 1, June 1997, Pages 10-27 | ||
| Document Type: Original Article | ||
| DOI: 10.21608/esju.1997.314634 | ||
| Abstract | ||
| The Burr type XII distribution yields a wide range of values of skewness and kortosis and it can be fitted to almost any given set of data arising from a unimodel distribution, so special attention has been focused on it. It has become an important family of distributions for Reliability studies. It is often of interest to determine whether a set of data can be grid considered to have come from a population belonging to this family. Goodness of fit tests are designed for checking the validity of a null hypothesis, which is a statement about the form of the distribution function of the parent population from which the sample is drawn. Ideally, the hypothesized distribution is completely specified, if the hypothesis states that the distribution belong to some family of distributions. The unknown parameters must be estimated from the sample data in order to perform a test. The complete sample procedures of goodness of fit tests are inappropriate for use with censored samples and critical values obtained from published tables of the distributions of the test statistics based on complete samples. Also, the goodness of fit tests for censored data are inappropriate when parameters of the hypothesized distribution are estimated from the data used for the test. | ||
| Keywords | ||
| Burr Failure Model; Censored Samples; Goodness of Fit Tests; Hypothesized Distribution; Reliability Studies | ||
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