Generalised Measures of Useful Directed Divergence and Information Improvement with Applications

The present communication describes a new generalised measure of useful directed divergence based on m-l probability distributions, and a probability distribution closest to these probability distributions has been proposed. The technique has been applied in solving problems related to crops production, export, and industries. Further, a generalised measure of useful information improvement has been developed and its applications in the assessment of balanced military requirements for a country, in ranking and pattern recognition, have been discussed

E-Bayesian and Hierarchical Bayesian Estimation of Hazard rate for Kumaraswamy Distribution

In this article, with the use of the Bayesian, Expected Bayesian, and H-Bayesian estimation methods, the shape parameter and hazard rate of the Kumaraswamy distribution are calculated. Three separate loss functions the Squared Error loss function(SELF), the Precautionary loss function(PLF), and the Asymmetry loss function(ALF) along with an informative prior the Gamma prior are used to provide the estimates . The definitions and properties of the proposed estimators are given. Monte Carlo simulation is used to compare all of the estimates in terms of mean square error (MSE). Taking data from the real world, different estimation methodologies’ efficacy has also been studied. Numerical analyses show that the E-Bayesian estimates outperform the Bayesian and Hierarchical estimates

Estimation of Parameters of Inverse Lomax Distribution under Type-II Censoring Scheme

In this paper, Bayesian and E-Bayesian estimation of unknown parameters of Inverse Lomax probability distribution based on Type-II censored samples has been obtained under De Groot Loss Function (DLF), Al-Bayyati Loss function (ABLF), Entropy Loss Function (ELF), Linex Loss Function (LLF) and Minimum Expected Loss Function (MELF). To derive these estimators, we have considered a conjugate gamma prior and uniform hyperprior distributions. The Monte Carlo simulation method has been used to generate a Type-II censored data from Inverse Lomax probability distribution. The performance of the estimators has been tested and compared by computing mean square error (MSE). Further, the relationship between the E-Bayesian estimators has been established in the form of theorems

Psoriasis: ATreatable but not so far Curable Disease

Research on psoriasis pathogenesis has largely increased knowledge on skin biology in general. In the past 15 years, innovations in the understanding of the pathogenesis of psoriasis have been translated into targeted and highly effective therapies providing fundamental insights into the pathogenesis of chronic inflammatory diseases with a dominant immune axis. This review we briefly discuss the pathophysiology of the disease, presence of comorbidities such as psoriasis arthritis and in detailed present the therapeutic options available now and in future for the this treatable disease. We present here a compiled data on well-established widely available therapies and novel targeted drugs.We aimed to focus on mechanism of action, doses, route of administration and established side effects. This information will be helpful for the clinicians to decide on the drugs for their patients

Sequential Analysis of Zero Truncated Geometric Distribution

The Geometric distribution is one of the important distributions in the real life situation specifically in reliability/survival analysis and queuing theory. One of the important property of this distribution is the lack of memory property and in case of its truncation, situations arise practically in cases where the ability to record, or even to know about, occurrences is limited to values which lie above or below a given threshold or within a specified range. For example, if the date of occurrence of an infectious disease in a patient is examined, this would typically be subject to truncation relative to those of all patients suffering from that infectious disease in the area given that the doctor starts the treatment only in a given age range on a specific time. This paper aims at studying the truncated geometric distribution from sequential point of view and proposes sequential testing procedure for its parameter of interest and also study its OC and ASN functions, both theoretically and graphically