| A Bivariate Pareto Distribution for Modeling Load Sharing Dependence Contributor(s): K. M., Jagathnath Krishna (Author) |
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ISBN: 3847344307 ISBN-13: 9783847344308 Publisher: LAP Lambert Academic Publishing OUR PRICE: $69.77 Product Type: Paperback Published: January 2012 |
| Additional Information |
| BISAC Categories: - Mathematics | Probability & Statistics - General |
| Physical Information: 0.41" H x 6" W x 9" (0.59 lbs) 176 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Usually in statistical modeling, one comes up with a model taking into consideration the physical aspects of the situation. In the present study we considered load sharing dependence in a two component parallel system. Though load sharing dependence is popular in reliability studies this dependence is common in socio-economic situations also. Freund (1961) has designed a bivariate exponential model for the life testing of a two component parallel system which incorporates the above said load-sharing dependence. If the operating environment affects both the components differently, then assuming a gamma distribution to model the environment, the above system reduces to assuming two independent Pareto II distributions instead of exponential distribution. Taking into consideration these assumptions we develop a new model which incorporates the load sharing dependence. This model finds application in the areas of survival analysis, reliability analysis and economics. |