Some results on quantile-based Shannon doubly truncated entropy
Sunoj et al. [(2009). Characterization of life distributions using conditional expectations of doubly (Intervel)truncated random variables. Communications in Statistics – Theory and Methods, 38(9), 1441–1452] introduced the concept of Shannon doubly truncated entropy in the literature. Quantile func...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis Group
2019-01-01
|
| Series: | Statistical Theory and Related Fields |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/24754269.2019.1586282 |
| _version_ | 1797677056728760320 |
|---|---|
| author | Vikas Kumar Gulshan Taneja Samsher Chhoker |
| author_facet | Vikas Kumar Gulshan Taneja Samsher Chhoker |
| author_sort | Vikas Kumar |
| collection | DOAJ |
| description | Sunoj et al. [(2009). Characterization of life distributions using conditional expectations of doubly (Intervel)truncated random variables. Communications in Statistics – Theory and Methods, 38(9), 1441–1452] introduced the concept of Shannon doubly truncated entropy in the literature. Quantile functions are equivalent alternatives to distribution functions in modelling and analysis of statistical data. In this paper, we introduce quantile version of Shannon interval entropy for doubly truncated random variable and investigate it for various types of univariate distribution functions. We have characterised certain specific lifetime distributions using the measure proposed. Also we discuss one fascinating practical example based on the quantile data analysis. |
| first_indexed | 2024-03-11T22:39:27Z |
| format | Article |
| id | doaj.art-042de7353b5d42129b69419b14adff65 |
| institution | Directory Open Access Journal |
| issn | 2475-4269 2475-4277 |
| language | English |
| last_indexed | 2024-03-11T22:39:27Z |
| publishDate | 2019-01-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Statistical Theory and Related Fields |
| spelling | doaj.art-042de7353b5d42129b69419b14adff652023-09-22T09:19:45ZengTaylor & Francis GroupStatistical Theory and Related Fields2475-42692475-42772019-01-0131597010.1080/24754269.2019.15862821586282Some results on quantile-based Shannon doubly truncated entropyVikas Kumar0Gulshan Taneja1Samsher Chhoker2M. D. UniversityM. D. UniversityM. D. UniversitySunoj et al. [(2009). Characterization of life distributions using conditional expectations of doubly (Intervel)truncated random variables. Communications in Statistics – Theory and Methods, 38(9), 1441–1452] introduced the concept of Shannon doubly truncated entropy in the literature. Quantile functions are equivalent alternatives to distribution functions in modelling and analysis of statistical data. In this paper, we introduce quantile version of Shannon interval entropy for doubly truncated random variable and investigate it for various types of univariate distribution functions. We have characterised certain specific lifetime distributions using the measure proposed. Also we discuss one fascinating practical example based on the quantile data analysis.http://dx.doi.org/10.1080/24754269.2019.1586282quantile functioninterval entropygeometric vitality functioncharacterisation |
| spellingShingle | Vikas Kumar Gulshan Taneja Samsher Chhoker Some results on quantile-based Shannon doubly truncated entropy Statistical Theory and Related Fields quantile function interval entropy geometric vitality function characterisation |
| title | Some results on quantile-based Shannon doubly truncated entropy |
| title_full | Some results on quantile-based Shannon doubly truncated entropy |
| title_fullStr | Some results on quantile-based Shannon doubly truncated entropy |
| title_full_unstemmed | Some results on quantile-based Shannon doubly truncated entropy |
| title_short | Some results on quantile-based Shannon doubly truncated entropy |
| title_sort | some results on quantile based shannon doubly truncated entropy |
| topic | quantile function interval entropy geometric vitality function characterisation |
| url | http://dx.doi.org/10.1080/24754269.2019.1586282 |
| work_keys_str_mv | AT vikaskumar someresultsonquantilebasedshannondoublytruncatedentropy AT gulshantaneja someresultsonquantilebasedshannondoublytruncatedentropy AT samsherchhoker someresultsonquantilebasedshannondoublytruncatedentropy |