An application of the Perron-Frobenius theorem to a Damage Model Problem

Alzaid, Abdulhamid A. ; Radhakrishna Rao, C. ; Shanbhag, D. N. (1986) An application of the Perron-Frobenius theorem to a Damage Model Problem Sankhya: The Indian Journal of Statistics, 48 (1). pp. 43-50. ISSN 0972-7671

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Abstract

Using the Perron-Frobenius theorem, it is established that if (X, Y) is a random vector of non-negative integer-valued components such that Y≤X almost surely and two modified Rao-Rubin conditions hold, then under some mild assumptions the distribution of (X, Y) is uniquely determined by the conditional distribution of Y given X. this result extends the recent unpublished work of Shanbag and Taillie (1979) on damage models.

Item Type:Article
Source:Copyright of this article belongs to Indian Statistical Institute.
Keywords:Damage Models; Modified Rao-Rubin Condition; Perron-Frobenius Theorem
ID Code:71857
Deposited On:28 Nov 2011 04:11
Last Modified:28 Nov 2011 04:11

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