Application of Ujlayan-Dixit Fractional Chi-Square Probability Distribution
In this study, we take into account the Ujlayan-Dixit (UD) fractional derivative in order to introduce the fractional probability density function for the Chi-Square distribution (CSD), and to establish certain new applications for this distribution through the use of fractional concepts in probabil...
Gespeichert in:
| Veröffentlicht in: | Statistics, optimization & information computing Jg. 14; H. 1; S. 373 - 386 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
20.06.2025
|
| ISSN: | 2311-004X, 2310-5070 |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | In this study, we take into account the Ujlayan-Dixit (UD) fractional derivative in order to introduce the fractional probability density function for the Chi-Square distribution (CSD), and to establish certain new applications for this distribution through the use of fractional concepts in probability theory, such as cumulative distribution, survival, and hazard functions. Furthermore, other ideas and applications for continuous random variables are developed using the UD fractional analogs of statistical measures, which are expectation, rth-moments, rth-central moments, variance, and standard deviation. Lastly, we provide the UD fractional entropy measures, including Shannon, Tsallis, and R´enyi entropy. |
|---|---|
| ISSN: | 2311-004X 2310-5070 |
| DOI: | 10.19139/soic-2310-5070-2334 |