Muliere, Pietro ; Prakasa Rao, B. L. S.
(2003)
*Characterization of probability distributions via binary associative operation*
Sankhya - Series A, 65
(4).
pp. 799-806.
ISSN 0581-572X

Full text not available from this repository.

Official URL: http://www.jstor.org/pss/25053314

## Abstract

A binary operation * over real numbers is said to be associative if (x * y) * z = x * (y * z) and it is said to be reducible if x * y = x * z or y * w = z * w if and only if z = y. The operation * is said to have an identity element ẽ if x * ẽ = x. We characterize different classes of probability distributions under such binary operations between random variables. Further more we characterize distributions with the almost lack of memory property or with the strong Markov property or with the periodic failure rate under such a binary operation extending the results for exponential distributions under addition operation as binary operation.

Item Type: | Article |
---|---|

Source: | Copyright of this article belongs to Indian Statistical Institute. |

ID Code: | 37685 |

Deposited On: | 26 Apr 2011 12:46 |

Last Modified: | 26 Apr 2011 12:46 |

Repository Staff Only: item control page