Cambanis-type Bivariate Uniform Distribution: Properties and Moment Estimation
The families of distributions are crucial in statistical modeling, offering a versatile foundation for a variety of applications. The development of bivariate distributions with specific marginal distributions and correlation coefficients is of considerable interest due to its wide-ranging relevance...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
The Scientific Association for Studies and Applied Research
2024-04-01
|
| Series: | Computational Journal of Mathematical and Statistical Sciences |
| Subjects: | |
| Online Access: | https://cjmss.journals.ekb.eg/article_331792.html |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850097780571242496 |
|---|---|
| author | Rohan Dilip Koshti Kirtee Kiran Kamalja |
| author_facet | Rohan Dilip Koshti Kirtee Kiran Kamalja |
| author_sort | Rohan Dilip Koshti |
| collection | DOAJ |
| description | The families of distributions are crucial in statistical modeling, offering a versatile foundation for a variety of applications. The development of bivariate distributions with specific marginal distributions and correlation coefficients is of considerable interest due to its wide-ranging relevance in real-world situations. The range of correlation between variables is an important characterization of the family. The variety of methods of construction of bivariate/multivariate distributions are developed in the literature. The Cambanis family is an important class of multivariate distributions with a wide range of correlation than the traditional families. In this paper, we consider a Cambanis-type bivariate uniform distribution and develop key statistical properties of the Cambanis-type bivariate uniform distribution. We obtain moment estimators of parameters for Cambanis-type bivariate uniform distribution. To evaluate the performance of the estimators, we develop an algorithm to simulate samples from the Cambanis-type bivariate uniform distribution and implement it in the R software. We perform a simulation study to present the performance of moment estimator.
|
| format | Article |
| id | doaj-art-35f676e9961a4b5a8315cb8dcce593bd |
| institution | DOAJ |
| issn | 2974-3435 2974-3443 |
| language | English |
| publishDate | 2024-04-01 |
| publisher | The Scientific Association for Studies and Applied Research |
| record_format | Article |
| series | Computational Journal of Mathematical and Statistical Sciences |
| spelling | doaj-art-35f676e9961a4b5a8315cb8dcce593bd2025-08-20T02:40:52ZengThe Scientific Association for Studies and Applied ResearchComputational Journal of Mathematical and Statistical Sciences2974-34352974-34432024-04-013111212410.21608/CJMSS.2023.246513.1026Cambanis-type Bivariate Uniform Distribution: Properties and Moment EstimationRohan Dilip Koshti0Kirtee Kiran Kamalja1Department of Statistics, School of Mathematical Sciences, Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon, IndiaDepartment of Statistics, School of Mathematical Sciences, Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon, India.The families of distributions are crucial in statistical modeling, offering a versatile foundation for a variety of applications. The development of bivariate distributions with specific marginal distributions and correlation coefficients is of considerable interest due to its wide-ranging relevance in real-world situations. The range of correlation between variables is an important characterization of the family. The variety of methods of construction of bivariate/multivariate distributions are developed in the literature. The Cambanis family is an important class of multivariate distributions with a wide range of correlation than the traditional families. In this paper, we consider a Cambanis-type bivariate uniform distribution and develop key statistical properties of the Cambanis-type bivariate uniform distribution. We obtain moment estimators of parameters for Cambanis-type bivariate uniform distribution. To evaluate the performance of the estimators, we develop an algorithm to simulate samples from the Cambanis-type bivariate uniform distribution and implement it in the R software. We perform a simulation study to present the performance of moment estimator. https://cjmss.journals.ekb.eg/article_331792.htmlcambanis familycambanis-type bivariate uniform distributionmoment estimation |
| spellingShingle | Rohan Dilip Koshti Kirtee Kiran Kamalja Cambanis-type Bivariate Uniform Distribution: Properties and Moment Estimation Computational Journal of Mathematical and Statistical Sciences cambanis family cambanis-type bivariate uniform distribution moment estimation |
| title | Cambanis-type Bivariate Uniform Distribution: Properties and Moment Estimation |
| title_full | Cambanis-type Bivariate Uniform Distribution: Properties and Moment Estimation |
| title_fullStr | Cambanis-type Bivariate Uniform Distribution: Properties and Moment Estimation |
| title_full_unstemmed | Cambanis-type Bivariate Uniform Distribution: Properties and Moment Estimation |
| title_short | Cambanis-type Bivariate Uniform Distribution: Properties and Moment Estimation |
| title_sort | cambanis type bivariate uniform distribution properties and moment estimation |
| topic | cambanis family cambanis-type bivariate uniform distribution moment estimation |
| url | https://cjmss.journals.ekb.eg/article_331792.html |
| work_keys_str_mv | AT rohandilipkoshti cambanistypebivariateuniformdistributionpropertiesandmomentestimation AT kirteekirankamalja cambanistypebivariateuniformdistributionpropertiesandmomentestimation |