Research Article

Using the Transformation Method to Evaluate The Probability Density Function of z = x^α y^β

In this research, our objective is to evaluate the probability density function of z = x^αy^β, where, x and y are two independent random variables, by using the probabilistic transformation method. The Probabilistic Transformation Methods (PTM) evaluate the Probability Density Function (PDF) of a function by multiplying the input pdf by the Jacobian of the inverse function. A new theorem for two input and one output has been developed. The result of our method is verified by the Monte Carlo simulation.

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Seifedine Kadry and Khaled Smaily, 2007. Using the Transformation Method to Evaluate The Probability Density Function of z = x^α y^β. The International Journal of Applied Economics and Finance, 1: 105-112.

DOI: 10.3923/ijaef.2007.105.112

URL: https://scialert.net/abstract/?doi=ijaef.2007.105.112

The International Journal of Applied Economics and Finance

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Seifedine Kadry

Khaled Smaily

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Research Article

Using the Transformation Method to Evaluate The Probability Density Function of z = x^α y^β

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The International Journal of Applied Economics and Finance

Article Trend

Total views 1171

Search

Authors

Seifedine Kadry

Khaled Smaily

Keywords

Research Article

Using the Transformation Method to Evaluate The Probability Density Function of z = xα yβ

How to cite this article