University of Tehran
Department of Mathematics
University of Tehran
Tarbiat Modarres University
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In this paper, we introduce a new useful continuous distribution called generalized modified inverse Weibull distribution. This distribution is a fourparameter extension of the modified inverse Weibull which generalizes some well-known distributions. Various statistical and probabilistic properties are derived such as rth moment, moment generating function, Renyi and Shannon entropies and hazard rate function. We also discuss estimation of the parameters by maximum likelihood and provide the information matrix. The likelihood ratio order (which implies the hazard rate and usual stochastic orders) between smallest order statistics from two independent heterogeneous samples of this new family are discussed. Finally, a real numerical example is also considered for illustrative purposes.
This paper presents a recursive algorithm for solving ”A secret sharing” problem. This problem is one of the unsolved problems in the Second International Students Olympiad in Cryptography (NSUCRYPTO2015). Recently, Geut et al. solved the problem in special case. We show that our algorithm is able to solve it in general.
The technological and industrial advances in any country depend primarily on the interactive academic developments. Indeed the basis for technology has been constructed by science such as mathematics as a top priority. In the present study, along with inspecting five distinctive educational psychology theories, various teaching styles of mathematics were scrutinized. For this purpose, a special questionnaire was developed in which every question includes one of fundamental characteristics of these theories. The participants in this survey were ninety B. Sc. students of mathematical sciences in University of Zabol. According to the statistical analyses, the heuristic problem-solving teaching and speech-based styles were the most interesting and least attractive methods respectively for the survey participant while the speech-based style is the most prevalent teaching style for them.