| 个人简介 | |
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 Prof. H.C. Taneja Delhi Technological University, India |
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| 标题： Information Theoretic Measures Approach To Characterize Lifetime Distribution Functions | |
| 摘要： The ‘residual’ lifetime distribution means the lifetime distribution of a component which has already survived up to some unit of time and the ‘past’ lifetime distribution means the lifetime distribution from the state ‘zero’ to the state ‘t’ when the unit has been found to survive only up to time t. A conventional approach to characterize the life distribution of a component is by measures like hazard rate function and the aging of a system is usually described in terms of increasing hazard rate function. We consider the information-theoretic measure approach to study the concept of aging and derive measures of residual and past uncertainty and inaccuracy. From these we characterize some specific lifetime distributions. This has been done both for continuous and discrete parameters cases. The content of the proposed lecture will be derived from some of my recent published work as listed below: 1. Kerridge Measure of Inaccuracy for Record Statistics ( Ritu Goel and Vikas Kumar) Journal of Information and Optimization Sciences (2017) Accepted. 2. On Renyi Entropy on Order Statistics (with R. Thapliyal) International Journal of Biomathematics (2015) Vol. 8(6), 1- 10. 3. On Residual Inaccuracy of Order Statistics (with R. Thapliyal) Statistics & Probability Letters (2015) Vol;. 97, pp 125-131. 4. Characterization Results Based on Non additive Entropy of Order Statistics (with Richa Thapliyal) Physica- A (2015) 417, 297-303. 5. Non additive Entropy Measure and Record Value (with Vikas Kumar) Applied Mathematics and Information Sciences (2015) Vol.9, no.3, 1-8. 6. Stochastic Comparisions of Residual Entropy of Order Statistics and Some Characterization Results ( with R.C. Gupta and Richa Thapliyal) Journal of Statistical Theory and Applications(2014) Vol.13 No.1, pp 27-37. 7. A Measure of Inaccuracy in Order Statistics (with Richa Thapliyal) Journal of Statistical Theory and Applications(2013) Vol.12, pp 200-207. 8. On Discrete Residual and Past Measures of Inaccuracy (with Richa Thapliyal and Vikas Kumar) Journal of Statistical Theory and Applications(2013) Vol.12,No.1 pp 120-128. 9. On Dynamic Commulative Entropy of Order Statistics (with Richa Thapliyal and Vikas Kumar) Journal of Stat. Appl. Prob.(2013) Vol.2, pp 41-46. 10. Order Statistics Based Measure of Past Entropy ( with Richa Thapliyal) Mathematical Journal of Interdisciplinary Sciences(2013), Vol 1, no.2. pp.63-70. 11. Entropy and residual Entropy Functions and Some Characterization Results (with R.C. Gupta) Pakistan Journal of Statistics and Operations Research ( 2012), Vol.8 No. 3, pp.605-617. 12. On Length Biased Dynamic Measure of Past Inaccuracy (with Vikas Kumar) Metrika (2012)75, 73-84. 13. Classification of Census Using Information theoretic Measure Based ID3 Algorithm (with Kumar Ashok, Chitkara Ashok K, and Vikas Kumar) Int. J. of Maths. Analysis, Vol.8 No.51 pp. 2511-2518. 14. Genralized Entropy of Order Statistics ( with Richa Thapliyal ) Applied Mathematics. 2012 ,3, 1977-1982. 15. Some Characterization Results on Generalized Cumulative Residual Entropy Measure (with Vikas Kumar) Statistics & Probability Letters 81 (2011),1072-1077 16. On Dynamic Renyi Cumulative Residual Entropy Measure (with Vikas Kumar) Journal of Statistical Theory and Applications (2011), Vol.10, 491-500. 17. A Generalized Entropy Based Residual Lifetime Distributions (with Vikas Kumar) International Journal of Biomathematics (2011), 171-184. 18. A Dynamic Measure of Inaccuracy Between Two Past Lifetime Distributions. (with Vikas Kumar and R.Srivastava) Metrika (2011), 74, 1-10. 19. On Dynamic Cumulative Residual Inaccuracy Measure (with Vikas Kumar), Proceeding at WCE Vol. 1, 2012, held at London U.K., July 06-08, 2011. | |
| 简介： Dr. H. C. Taneja is Professor in Applied Mathematics and Dean Academic PG at Delhi Technological University, Delhi (Formerly, Delhi College of Engineering). He got his Ph.D. in the field of Information Theory in the year 1985. He has vast experience of about 36 years of teaching in mathematics and statistics both at UG and PG levels at different universities and technical institutions. Dr. Taneja has published more than sixty research papers in the field of Information Theory in journals of international repute and is a member of various international societies. He has guided eight Ph.D.‘s and a number of M.Phil. and B. Tech projects in his area of interest. He has attended various national and international conferences and is a reviewer and member of the Editorial Boards of various international journals. He has been invited to deliver talks and popular lectures at various forums. He is recipient of ISITA 2012 Award given by the Indian Society of Information Theory and its Applications for his contributions in the field of Information Theory. Dr. Taneja has been at various administrative positions in the domain of academia and is a member of Governing Bodies and Boards of various technical institutions and universities. Also he has authored two books one entitled,”Advanced Engineering Mathematics Vol.1&2” and the other ”Statistical Methods for Engineering and Science”. | |
