Weak Limit of Sample Range and Midrange For Random Sample Sizes | ||
| The Egyptian Statistical Journal | ||
| Article 2, Volume 34, Issue 1, June 1990, Pages 45-58 PDF (5.1 M) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/esju.1990.315031 | ||
| Authors | ||
| H. M. Barakat* ; E. M. Nigm | ||
| Dep.of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt | ||
| Abstract | ||
| The present work deals with the weak convergence of sample range and midrange when the sample size is a positive integer-valued random variable (r.v.). The convergence conditions as well as the limit forms are obtained under general conditions such as: The interrelation of the basic variables (i.e., the original random sample, and the random size is not restricted and to normalizing constants do not contain the random size. | ||
| Keywords | ||
| Sample range; sample midrange; weak convergence; sample of random size | ||
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