STATISTICAL INFERENCE ON THE GENERALIZED EXPONENTIAL DISTRIBUTION BASED ON GENERALIZED ORDER STATISTICS CHARACTERIZATIONS AND APPLICATIONS.

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Title: STATISTICAL INFERENCE ON THE GENERALIZED EXPONENTIAL DISTRIBUTION BASED ON GENERALIZED ORDER STATISTICS CHARACTERIZATIONS AND APPLICATIONS.
Authors: Shah, Imtiyaz A.1 driashah03@gmail.com, Rather, Khalid Ul Islam2 khalidstat34@gmail.com
Source: Reliability: Theory & Applications. Dec2025, Vol. 20 Issue 4, p921-930. 10p.
Subjects: Distribution (Probability theory), Order statistics, Inferential statistics, Mathematical functions, Prediction algorithms
Abstract: In this paper, we study the Some distribution functions have been characterized based on m-dual generalized order statistics and consequently m-generalized order statistics. Moreover, we show that these characterization properties provide a beneficial strategy to predict future events, which are based on past or current events and on an arbitrary distribution function. Finally, an application of these results is given for bivariate generalized exponential distribution. [ABSTRACT FROM AUTHOR]
Copyright of Reliability: Theory & Applications is the property of International Group on Reliability and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: STATISTICAL INFERENCE ON THE GENERALIZED EXPONENTIAL DISTRIBUTION BASED ON GENERALIZED ORDER STATISTICS CHARACTERIZATIONS AND APPLICATIONS.
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  Data: <searchLink fieldCode="AR" term="%22Shah%2C+Imtiyaz+A%2E%22">Shah, Imtiyaz A.</searchLink><relatesTo>1</relatesTo><i> driashah03@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Rather%2C+Khalid+Ul+Islam%22">Rather, Khalid Ul Islam</searchLink><relatesTo>2</relatesTo><i> khalidstat34@gmail.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Reliability%3A+Theory+%26+Applications%22">Reliability: Theory & Applications</searchLink>. Dec2025, Vol. 20 Issue 4, p921-930. 10p.
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  Data: <searchLink fieldCode="DE" term="%22Distribution+%28Probability+theory%29%22">Distribution (Probability theory)</searchLink><br /><searchLink fieldCode="DE" term="%22Order+statistics%22">Order statistics</searchLink><br /><searchLink fieldCode="DE" term="%22Inferential+statistics%22">Inferential statistics</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+functions%22">Mathematical functions</searchLink><br /><searchLink fieldCode="DE" term="%22Prediction+algorithms%22">Prediction algorithms</searchLink>
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  Label: Abstract
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  Data: In this paper, we study the Some distribution functions have been characterized based on m-dual generalized order statistics and consequently m-generalized order statistics. Moreover, we show that these characterization properties provide a beneficial strategy to predict future events, which are based on past or current events and on an arbitrary distribution function. Finally, an application of these results is given for bivariate generalized exponential distribution. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Reliability: Theory & Applications is the property of International Group on Reliability and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.24412/1932-2321-2025-489-921-930
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      – Code: eng
        Text: English
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        PageCount: 10
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    Subjects:
      – SubjectFull: Distribution (Probability theory)
        Type: general
      – SubjectFull: Order statistics
        Type: general
      – SubjectFull: Inferential statistics
        Type: general
      – SubjectFull: Mathematical functions
        Type: general
      – SubjectFull: Prediction algorithms
        Type: general
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      – TitleFull: STATISTICAL INFERENCE ON THE GENERALIZED EXPONENTIAL DISTRIBUTION BASED ON GENERALIZED ORDER STATISTICS CHARACTERIZATIONS AND APPLICATIONS.
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            NameFull: Shah, Imtiyaz A.
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            NameFull: Rather, Khalid Ul Islam
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              M: 12
              Text: Dec2025
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              Y: 2025
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