Remark on the Paper by Rao And Kakehashi (2005)

The paper by Rao and Kakehashi [1]uses the Weibull distribution (given by equation (3) in the paper)and a truncated version of it (given by equations (4) and (5))to model HIV/AIDS data in India.After a careful reading, I have found that all of the results presentedin the appendix are incorrect (star...

Full description

Saved in:
Bibliographic Details
Main Author: Saralees Nadarajah
Format: Article
Language:English
Published: AIMS Press 2006-01-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.385
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832590284325650432
author Saralees Nadarajah
author_facet Saralees Nadarajah
author_sort Saralees Nadarajah
collection DOAJ
description The paper by Rao and Kakehashi [1]uses the Weibull distribution (given by equation (3) in the paper)and a truncated version of it (given by equations (4) and (5))to model HIV/AIDS data in India.After a careful reading, I have found that all of the results presentedin the appendix are incorrect (starting with equation (11) itself).Instead of pointing out all of the specific errors, I have chosen to give the correct formulas (and a brief outline of their derivation)for the $r$th moment of the truncated Weibull distribution.
format Article
id doaj-art-c5d5be3cf3404176834b2c4d08214fef
institution Kabale University
issn 1551-0018
language English
publishDate 2006-01-01
publisher AIMS Press
record_format Article
series Mathematical Biosciences and Engineering
spelling doaj-art-c5d5be3cf3404176834b2c4d08214fef2025-01-24T01:51:19ZengAIMS PressMathematical Biosciences and Engineering1551-00182006-01-013238538710.3934/mbe.2006.3.385Remark on the Paper by Rao And Kakehashi (2005)Saralees Nadarajah0Department of Statistics, University of Nebraska, Lincoln, Nebraska 68583The paper by Rao and Kakehashi [1]uses the Weibull distribution (given by equation (3) in the paper)and a truncated version of it (given by equations (4) and (5))to model HIV/AIDS data in India.After a careful reading, I have found that all of the results presentedin the appendix are incorrect (starting with equation (11) itself).Instead of pointing out all of the specific errors, I have chosen to give the correct formulas (and a brief outline of their derivation)for the $r$th moment of the truncated Weibull distribution.https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.385momentstruncated weibulldistribution.incubation time distribution
spellingShingle Saralees Nadarajah
Remark on the Paper by Rao And Kakehashi (2005)
Mathematical Biosciences and Engineering
moments
truncated weibulldistribution.
incubation time distribution
title Remark on the Paper by Rao And Kakehashi (2005)
title_full Remark on the Paper by Rao And Kakehashi (2005)
title_fullStr Remark on the Paper by Rao And Kakehashi (2005)
title_full_unstemmed Remark on the Paper by Rao And Kakehashi (2005)
title_short Remark on the Paper by Rao And Kakehashi (2005)
title_sort remark on the paper by rao and kakehashi 2005
topic moments
truncated weibulldistribution.
incubation time distribution
url https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.385
work_keys_str_mv AT saraleesnadarajah remarkonthepaperbyraoandkakehashi2005