<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, we obtain the distribution of mixed sum of two independent random variables with different probability density functions. One with probability density function defined in finite range and the other with probability density function defined in infinite range and associated with product of Srivastava's polynomials and H-function. We use the Laplace transform and its inverse to obtain our main result. The result obtained here is quite general in nature and is capable of yielding a large number of corresponding new and known results merely by specializing the parameters involved therein. To illustrate, some special cases of our main result are also given.</p></abstract>

In this paper, we obtain the distribution of mixed sum of two independent random variables with different probability density functions. One with probability density function defined in finite range and the other with probability density function defined in infinite range and associated with product of Srivastava's polynomials and H-function. We use the Laplace transform and its inverse to obtain our main result. The result obtained here is quite general in nature and is capable of yielding a large number of corresponding new and known results merely by specializing the parameters involved therein. To illustrate, some special cases of our main result are also given.

On The Distribution Of Mixed Sum Of Independent Random Variables One Of Them Associated With Srivastava's Polynomials And <italic>H</italic> -Function

Department of Mathematics, Jagan Nath University, Village-Rampura, Tehsil-Chaksu, Jaipur-303901, Rajasthan, India

Devendra Kumar Department of Mathematics JaganNath Gupta Institute of Engineering and Technology, Jaipur-302022, Rajasthan, India

Journal of Applied Mathematics, Statistics and Informatics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On The Distribution Of Mixed Sum Of Independent Random Variables One Of Them Associated With Srivastava's Polynomials And  -Function

In this paper, we obtain the distribution of mixed sum of two independent random variables with different probability density functions. One with probability...

On The Distribution Of Mixed Sum Of Independent Random Variables One Of Them Associated With Srivastava's Polynomials And H -Function

Published Online: Jul 15, 2014

Page range: 53 - 62

Received: Jul 01, 2012

DOI: https://doi.org/10.2478/jamsi-2014-0005

Keywords
-function, Srivastava's polynomials, Laplace transform, distribution function, probability density function

© 2014 Faculty of Natural Sciences, University of Saint Cyril and Metodius

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On The Distribution Of Mixed Sum Of Independent Random Variables One Of Them Associated With Srivastava's Polynomials And H -Function

Published Online: Jul 15, 2014

Page range: 53 - 62

Received: Jul 01, 2012

DOI: https://doi.org/10.2478/jamsi-2014-0005

Keywords-function, Srivastava's polynomials, Laplace transform, distribution function, probability density function

© 2014 Faculty of Natural Sciences, University of Saint Cyril and Metodius

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
-function, Srivastava's polynomials, Laplace transform, distribution function, probability density function