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Hyperbolic Valued Random Variables and Conditional Expectation by Kumar, Romesh; Sharma, Kailash is a scholarly article available to read on EtoBox.

What is Hyperbolic Valued Random Variables and Conditional Expectation about?

In this paper, we introduce the concept of hyperbolic valued random variables, their expectation and moments. We develop the hyperbolic analogue of Binomial and Poisson distributions. We study some of the properties of expectation on the basis of decomposition of a hyperbolic number into idempotent components. Finally we define conditional expectation of hyperbolic valued random variable and study some of its basic properties. Our random variable can take values which are zero divisors and this is the important part of this study.

Author

Kumar, Romesh; Sharma, Kailash

Published

2016

Language

EN