Cambanis-type Bivariate Uniform Distribution: Properties and Moment Estimation | ||
| Computational Journal of Mathematical and Statistical Sciences | ||
| Volume 3, Issue 1, April 2024, Pages 112-124 PDF (648.23 K) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/cjmss.2023.246513.1026 | ||
| Authors | ||
| Rohan Dilip Koshti* 1; Kirtee Kiran Kamalja2 | ||
| 1Department of Statistics, School of Mathematical Sciences, Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon, India | ||
| 2Department of Statistics, School of Mathematical Sciences, Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon, India. | ||
| Abstract | ||
| 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. | ||
| Keywords | ||
| Cambanis family; Cambanis-type bivariate uniform distribution; moment estimation | ||
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