Suchergebnisse

Papers presented at a mini-meeting-cum-workshop held at Visva-Bharati University with support from Institute of Mathematical Statistics

This book provides a systematic, formal treatment of a recently proposed extension of the expected utility model of choice under risk: the so-called rank-dependent utility model. In this approach the representation of preferences is based upon a (generalized) utility function defined on the outcome/probability-plane. The main purpose of the book is to demonstrate the flexibility of this model with respect to its explanatory power. This is achieved by analyzing a certain subclass of the rank-dependent utility approach which incorporates the notion of price-dependent distortions of probabilities. This particular approach captures an optimistic point of view towards gambling (as can often be observed), whilst being compatible with a suitably formulated concept of risk aversion. The resulting model is used to explain some of the observed behavioral patterns as the Allais-paradox and the behavior described by the Friedman-Savage hypothesis

2.4. Bibliographical notesChapter 3. Risk Model with Stochastic Premiums and Investments in a Risk-Free Asset; 3.1. Description of the model; 3.2. Continuity and differentiability of the infinite-horizon survival probability; 3.3. Continuity of the finite-horizon survival probability and existence of its partial derivatives; Chapter 4. Classical Risk Model with a Franchise and a Liability Limit; 4.1. Introduction; 4.2. Survival probability in the classical risk model with a franchise; 4.3. Survival probability in the classical risk model with a liability limit

Blood pressure was mathematically analyzed using t-Test method in the statistics of blood pressure patients at Tamil Nadu Government Hospital, Thiruthuraipoondi, Thiruvarur (Dt.) in 2020-2021.

Gastric ulcer was mathematically analyzed using t-Test method in the statistics of gastric ulcer patients at Tamil Nadu Government Hospital, Vedharanyam, Nagapattinam (Dt.) in 2020-2021.

Statistical models that estimate 12-month-ahead recession probabilities using the term spread have been around for many years. However, the reliability of the term spread as a predictor may have been affected by short-term interest rates being at zero. At the zero lower bound, long-term yields cannot go too far into negative territory due to the portfolio constraints of institutional investors. Therefore, the yield curve may not invert when it should or as much as it should despite the anticipated path of the economy. I enhance the simple model with two variables that should have predictive power for recessions.