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Shannon Information In k-records |
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| Authors: | M Madadi M Tata |
| Institution: | Faculty of Mathematics and Computer Sciences, Shahid Bahonar University of Kerman, Kerman, Iran |
| Abstract: | In this article, we present results on the Shannon information (SI) contained in upper(lower) k-record values and associated k-record times. We then establish an interesting relationship between the SI content of a random sample of fixed size, and the SI in the data consisting of sequential maxima. We also consider the information contained in the k-record data from an inverse sampling plan (ISP). |
| Keywords: | Record values Record times k-record values k-record times Shannon information Fisher information Euler’s constant Digamma function Zeta function |