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On truncated bivariate discrete distributions: A unified treatment |
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| Authors: | Violetta E Piperigou and H Papageorgiou |
| Institution: | (1) Department of Mathematics, University of Athens, Panepistemiopolis, 000, 15784 Athens, Greece;(2) Department of Mathematics, University of Athens, Panepistemiopolis, no street, 000, 15784 Athens, Greece |
| Abstract: | A unified treatment of three types of zero class truncation for bivariate discrete distributions is presented. Using the probability generating function approach, various properties of the truncated distributions are examined in association with the corresponding properties of the initial complete form of the distribution. Expressions for moments and conditional distributions are also obtained. Bivariate versions of the Thomas and the Intervened Poisson distributions are introduced and used as illustrative examples. Received November 2000/Revised March 2002 |
| Keywords: | Truncated distributions – Probability generating function – Marginal conditional distributions – Bivariate Thomas Intervened Poisson distributions |
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