Now showing items 1-6 of 6
| Abstract: | In this paper, we examine the relationships between log odds rate and various reliability measures such as hazard rate and reversed hazard rate in the context of repairable systems. We also prove characterization theorems for some families of distributions viz. Burr, Pearson and log exponential models. We discuss the properties and applications of log odds rate in weighted models. Further we extend the concept to the bivariate set up and study its properties. |
| Description: | Statistics, Vol. 41, No. 5, October 2007, 443–451 |
| URI: | http://dyuthi.cusat.ac.in/purl/4283 |
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| Characterizatio ... ns using log odds rate.pdf | (111.4Kb) |
| Abstract: | In this article, we study reliability measures such as geometric vitality function and conditional Shannon’s measures of uncertainty proposed by Ebrahimi (1996) and Sankaran and Gupta (1999), respectively, for the doubly (interval) truncated random variables. In survival analysis and reliability engineering, these measures play a significant role in studying the various characteristics of a system/component when it fails between two time points. The interrelationships among these uncertainty measures for various distributions are derived and proved characterization theorems arising out of them |
| Description: | Communications in Statistics—Theory and Methods, 38: 1441–1452, 2009 |
| URI: | http://dyuthi.cusat.ac.in/purl/4273 |
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| Characterizatio ... Expectations of Doubly.pdf | (133.5Kb) |
| Abstract: | Lower partial moments plays an important role in the analysis of risks and in income/poverty studies. In the present paper, we further investigate its importance in stochastic modeling and prove some characterization theorems arising out of it. We also identify its relationships with other important applied models such as weighted and equilibrium models. Finally, some applications of lower partial moments in poverty studies are also examined |
| Description: | METRON - International Journal of Statistics 2008, vol. LXVI, n. 2, pp. 223-242 |
| URI: | http://dyuthi.cusat.ac.in/purl/4282 |
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| The role of low ... in stochastic modeling.pdf | (139.5Kb) |
| Abstract: | In this paper, we study some dynamic generalized information measures between a true distribution and an observed (weighted) distribution, useful in life length studies. Further, some bounds and inequalities related to these measures are also studied |
| Description: | Statistica,VOL 68(1),pp 71-84 |
| URI: | http://dyuthi.cusat.ac.in/purl/4275 |
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| Some Dynamic Ge ... ext Of Weighted Models.pdf | (350.4Kb) |
| Abstract: | The present study gave emphasis on characterizing continuous probability distributions and its weighted versions in univariate set up. Therefore a possible work in this direction is to study the properties of weighted distributions for truncated random variables in discrete set up. The problem of extending the measures into higher dimensions as well as its weighted versions is yet to be examined. As the present study focused attention to length-biased models, the problem of studying the properties of weighted models with various other weight functions and their functional relationships is yet to be examined. |
| Description: | Department of Statistics, Cochin University of Science and Technology |
| URI: | http://dyuthi.cusat.ac.in/purl/2745 |
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| Dyuthi-T0770.pdf | (2.405Mb) |
| Abstract: | In this article we introduce some structural relationships between weighted and original variables in the context of maintainability function and reversed repair rate. Furthermore, we prove some characterization theorems for specific models such as power, exponential, Pareto II, beta, and Pearson system of distributions using the relationships between the original and weighted random variables |
| Description: | Communications in Statistics—Theory and Methods, 35: 223–228, 2006 |
| URI: | http://dyuthi.cusat.ac.in/purl/4274 |
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| Some Properties ... of Repairable Systems.pdf | (95.90Kb) |
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