4 papers · 1 filter
Improved estimation of differential entropy of a multivariate Gaussian distribution
Somnath Mondal, Lakshmi Kanta Patra
We consider estimation of entropy of a multivariate variate normal distribution with unknown mean vector and unknown covariance matrix. Using a decision-theoretic approach, we stud…
Improved estimation of positive powers of scale parameters of exponential distributions under a prior information
Somnath Mondal
Estimating unknown parameters subject to prior constraints is important in statistical inference, particularly in fields such as reliability analysis, survival studies, and enginee…
Estimating order scale parameters of two scale mixture of exponential distributions
Somnath Mondal, Lakshmi Kanta Patra
The scale mixture of the exponential distribution provides a flexible framework for modelling lifetime and reliability data. This model is widely used in survival analysis, biomedi…
Improved estimation of the positive powers ordered restricted standard deviation of two normal populations
Somnath Mondal, Lakshmi Kanta Patra
The present manuscript is concerned with component-wise estimation of the positive power of ordered restricted standard deviation of two normal populations with certain restriction…