Academic Journal
Distributional Censored and Uncensored Validation Testing under a Modified Test Statistic with Risk Analysis and Assessment
| Τίτλος: | Distributional Censored and Uncensored Validation Testing under a Modified Test Statistic with Risk Analysis and Assessment |
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| Συγγραφείς: | Yusra Tashkandy, Walid Emam, Gauss M. Cordeiro, M. Masoom Ali, Khaoula Aidi, Haitham M. Yousof, Mohamed Ibrahim |
| Πηγή: | Journal of Mathematics, Vol 2023 (2023) |
| Στοιχεία εκδότη: | Wiley, 2023. |
| Έτος έκδοσης: | 2023 |
| Θεματικοί όροι: | Statistics and Probability, Social Sciences, Skew Distributions, 02 engineering and technology, Management Science and Operations Research, 01 natural sciences, Decision Sciences, FOS: Economics and business, Statistical hypothesis testing, Methods for Handling Missing Data in Statistical Analysis, Skew Distributions and Applications in Statistics, QA1-939, 0202 electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Econometrics, 0101 mathematics, Modeling Risk in Insurance and Finance, Statistic, Ordinary least squares, Maximum Likelihood Estimation, 4. Education, Statistics, Heavy-Tailed Distributions, Ancillary statistic, Pearson's chi-squared test, Sensitivity Analysis, Test statistic, Physical Sciences, Mathematics |
| Περιγραφή: | This paper introduces and studies a unique probability distribution. The maximum likelihood estimation, the ordinary least squares, the weighted least squares, and the Anderson–Darling estimation methods all take into account a number of financial risk indicators, including the value-at-risk, tail-value-at-risk, tail variance, tail mean-variance, and mean excess loss function. These four approaches were used in a simulation study and an application to insurance claims data for the actuarial evaluation. The well-known Nikulin–Rao–Robson statistic is taken into consideration for distributional validation under the whole set of data. Three complete actual datasets and a simulation study are used to evaluate the Nikulin–Rao–Robson test statistic. An updated version of the Nikulin–Rao–Robson statistic is taken into consideration for censored distributional validation. Three censored actual datasets and a thorough simulation analysis are used to evaluate the novel Nikulin–Rao–Robson test statistic. |
| Τύπος εγγράφου: | Article Other literature type |
| Γλώσσα: | English |
| ISSN: | 2314-4785 2314-4629 |
| DOI: | 10.1155/2023/8852528 |
| DOI: | 10.60692/ek6b3-pcx84 |
| DOI: | 10.60692/1858v-51a38 |
| Σύνδεσμος πρόσβασης: | https://doaj.org/article/9cdce1073de649f481ba713103af7ddd |
| Rights: | CC BY |
| Αριθμός Καταχώρησης: | edsair.doi.dedup.....e0866ec40138ac0b74ebe7343decd618 |
| Βάση Δεδομένων: | OpenAIRE |
| ISSN: | 23144785 23144629 |
|---|---|
| DOI: | 10.1155/2023/8852528 |