A NEW CLASS OF BIVARIATE AND MULTIVARIATE EXPONENTIAL DISTRIBUTIONS
The concept of weighted distributions is well-known in the literature concerning observational studies and surveys in research related to forestry, ecology, bio-medicine and many other areas. This paper proposes a new bivariate and multivariate exponential distribution. Several structural properties of the proposed bivariate exponential distribution including moments, failure rate function, reliability parameter and estimation of the model parameters are studied. Some properties of the multivariate extension of the proposed distribution are discussed. A simulation study is considered as an illustration of the model applicability.
weighted distributions, total positivity of order 2, increasing and decreasing failure rates, Shannon entropy, Laplace transform.