Artikel
Alternative approach to moments of order statistics from one-parameter Weibull distribution
The Weibull distribution is used to describe various observed failures of phenomena and widely used in survival analysis and reliability theory. Sometimes it is very difficult to compute moments of such distributions due to various reasons for e.g. analytical issues, multi parameter cases etc. This study presents the computation of the moments and the expected value of the product of order statistics in the sample from the one-parameter Weibull distribution. An alternative approach in connection to survival function is used to obtain these moments and expected values. In addition the characteristic function of the above distribution is also obtained in the form of gamma functions. Further an illustration is shown to find the first two moments and expected value of the product of order statistics by using this approach.
- Language
-
Englisch
- Bibliographic citation
-
Journal: Statistics in Transition New Series ; ISSN: 2450-0291 ; Volume: 21 ; Year: 2020 ; Issue: 1 ; Pages: 169-178 ; New York: Exeley
- Subject
-
order statistics
survival function
moments
characteristic function
- Event
-
Geistige Schöpfung
- (who)
-
Rai, Piyush Kant
Sirohi, Anu
- Event
-
Veröffentlichung
- (who)
-
Exeley
- (where)
-
New York
- (when)
-
2020
- DOI
-
doi:10.21307/stattrans-2020-010
- Handle
- Last update
-
10.03.2025, 11:44 AM CET
Data provider
This object is provided by:
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. If you have any questions about the object, please contact the data provider.
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. If you have any questions about the object, please contact the data provider.
Object type
- Artikel
Associated
- Rai, Piyush Kant
- Sirohi, Anu
- Exeley
Time of origin
- 2020
Other Objects (12)
RELATIONS FOR MOMENTS OF PROGRESSIVELY TYPE-II RIGHT CENSORED ORDER STATISTICS FROM ERLANG-TRUNCATED EXPONENTIAL DISTRIBUTION
M-ESTIMATORS IN BUSINESS STATISTICS
DEVELOPMENT OF SMALLAREA ESTIMATION IN OFFICIAL STATISTICS
SOME RESULTS FROM THE 2013 INTERNATIONAL YEAR OF STATISTICS
GENERALIZED PARETO DISTRIBUTION BASED ON GENERALIZED ORDER STATISTICS AND ASSOCIATED INFERENCE
THE OFFICE FOR NATIONAL STATISTICS EXPERIENCE OF COLLECTING AND MEASURING SUBJECTIVE WELL-BEING
An application of a complex measure to model–based imputation in business statistics
POLICY-ORIENTED INFERENCE AND THE ANALYST-CLIENT COOPERATION. AN EXAMPLE FROM SMALL-AREA STATISTICS
ON A LESS CUMBERSOME METHOD OF ESTIMATION OF PARAMETERS OF LINDLEY DISTRIBUTION BY ORDER STATISTICS
INTERVAL ESTIMATION OF HIGHER ORDER QUANTILES. ANALYSIS OF ACCURACY OF SELECTED PROCEDURES
OFFICIAL STATISTICS ON PERSONAL WELL-BEING: SOME REFLECTIONS ON THE DEVELOPMENT AND SOME REFLECTIONS ON THE DEVELOPMENT AND IN THE UK
ESTIMATION OF THE CENTRAL MOMENTS OF A RANDOM VECTOR BASED ON THE DEFINITION OF THE POWER OF A VECTOR
RELATIONS FOR MOMENTS OF PROGRESSIVELY TYPE-II RIGHT CENSORED ORDER STATISTICS FROM ERLANG-TRUNCATED EXPONENTIAL DISTRIBUTION
M-ESTIMATORS IN BUSINESS STATISTICS
DEVELOPMENT OF SMALLAREA ESTIMATION IN OFFICIAL STATISTICS
SOME RESULTS FROM THE 2013 INTERNATIONAL YEAR OF STATISTICS
GENERALIZED PARETO DISTRIBUTION BASED ON GENERALIZED ORDER STATISTICS AND ASSOCIATED INFERENCE
THE OFFICE FOR NATIONAL STATISTICS EXPERIENCE OF COLLECTING AND MEASURING SUBJECTIVE WELL-BEING
An application of a complex measure to model–based imputation in business statistics
POLICY-ORIENTED INFERENCE AND THE ANALYST-CLIENT COOPERATION. AN EXAMPLE FROM SMALL-AREA STATISTICS
ON A LESS CUMBERSOME METHOD OF ESTIMATION OF PARAMETERS OF LINDLEY DISTRIBUTION BY ORDER STATISTICS
INTERVAL ESTIMATION OF HIGHER ORDER QUANTILES. ANALYSIS OF ACCURACY OF SELECTED PROCEDURES
OFFICIAL STATISTICS ON PERSONAL WELL-BEING: SOME REFLECTIONS ON THE DEVELOPMENT AND SOME REFLECTIONS ON THE DEVELOPMENT AND IN THE UK
ESTIMATION OF THE CENTRAL MOMENTS OF A RANDOM VECTOR BASED ON THE DEFINITION OF THE POWER OF A VECTOR
RELATIONS FOR MOMENTS OF PROGRESSIVELY TYPE-II RIGHT CENSORED ORDER STATISTICS FROM ERLANG-TRUNCATED EXPONENTIAL DISTRIBUTION
M-ESTIMATORS IN BUSINESS STATISTICS
DEVELOPMENT OF SMALLAREA ESTIMATION IN OFFICIAL STATISTICS
SOME RESULTS FROM THE 2013 INTERNATIONAL YEAR OF STATISTICS
GENERALIZED PARETO DISTRIBUTION BASED ON GENERALIZED ORDER STATISTICS AND ASSOCIATED INFERENCE
THE OFFICE FOR NATIONAL STATISTICS EXPERIENCE OF COLLECTING AND MEASURING SUBJECTIVE WELL-BEING
An application of a complex measure to model–based imputation in business statistics
POLICY-ORIENTED INFERENCE AND THE ANALYST-CLIENT COOPERATION. AN EXAMPLE FROM SMALL-AREA STATISTICS
ON A LESS CUMBERSOME METHOD OF ESTIMATION OF PARAMETERS OF LINDLEY DISTRIBUTION BY ORDER STATISTICS
INTERVAL ESTIMATION OF HIGHER ORDER QUANTILES. ANALYSIS OF ACCURACY OF SELECTED PROCEDURES
OFFICIAL STATISTICS ON PERSONAL WELL-BEING: SOME REFLECTIONS ON THE DEVELOPMENT AND SOME REFLECTIONS ON THE DEVELOPMENT AND IN THE UK