Two New Estimators of Entropy for Testing Normality

We present two new estimators for estimating the entropy of absolutely continuous random variables. Some properties of them are considered, specifically consistency of the first is proved. The introduced estimators are compared with the existing entropy estimators. Also, we propose two new tests for normality based on the introduced entropy estimators and compare their powers with the powers of other tests for normality. The results show that the proposed estimators and test statistics perform very well in estimating entropy and testing normality. A real example is presented and analyzed.Comment: 28 page

Testing Exponentiality Based on R\'enyi Entropy With Progressively Type-II Censored Data

We express the joint R\'enyi entropy of progressively censored order statistics in terms of an incomplete integral of the hazard function, and provide a simple estimate of the joint R\'enyi entropy of progressively Type-II censored data. Then we establish a goodness of fit test statistic based on the R\'enyi Kullback-Leibler information with the progressively Type-II censored data, and compare its performance with the leading test statistic. A Monte Carlo simulation study shows that the proposed test statistic shows better powers than the leading test statistic against the alternatives with monotone increasing, monotone decreasing and nonmonotone hazard functions.Comment: 16 page

THE EVALUATION OF THE ART OF PERSIAN PAINTING (FROM THE BEGINNING TO THE ADVENT OF ISLAM)

Abstract. Painting is the manifestation of expression, yearning heart, attitude and worldview represents of aterritory people; hence it is an important element in the study of beliefs and the gradual perfection of their spirit. The history of painting in Iran can be found in the remains of Paleolithic period and images of caves in Lorestan - Mirmelas and Dushh; although Will Durant believes that the start of this art is from the time of painting on the pottery. Iranian paintings regardless of the period in which the image is drawn, reflect special idealism. Iranian painter would not represent the exact nature; he devotes all his time to emphasize the beauty of painting. Painting in pre- Islam whether those drawn in old books and manuscripts or on the walls and little scales always have maintained their relation between poem, culture, local beliefs, legends and myths. And this feature distinguishes Iranian paintings. Arjang is a perfect example of the evolution of these relations.Key words: painter, art of painting, Iran, prehistory, ancient Iran

Lithostratigraphy and study of planktonic foraminifera of the Abderaz Formation at type section, Kopet-Dagh basin, IRAN

In order to study the fossil contents of the Abderaz Formation for biostratigraphical purposes the 300 meters thick section was sampled at type section. The sequence is mainly made up of grey shales and marls with two units of chalky limestone in upper part. The lower contact of the formation with Aitamir Formation is disconform while the upper contact with Abtalkh is continuous. There are huge amounts of inoceramids and ammonite. In the chalk limestone bonds of this formation which is belong to Santonian time planktonic, would exist some foraminifera with a less diversity because during the Santonian, the members of morphotype group three (M3) shows a regression in the above-mentioned section, with association of tegilla shapes decreases in the area and sea water. The study of the planktonic foraminifera in isolated form led to differentiate three morphotype groups. The first group is characterized by trochospiral tests usually indicate shallow waters, the second group contains forms with strong ornamentations and the primary keels representing mid waters and finally compact trochospiral tests with keels known as deep water indices are included in the third group. Studies on the morphotypes showed a regressive cycle for Abderaz Formation

Assessment of changes in biochemical parameters associated with kidney function in patients with multiple sclerosis while taking the drug

زمینه و هدف: بیماری مولتیپل اسکلروزیس، یکی از شایع ترین بیماری های مغز و اعصاب محسوب می گردد. هدف از این مطالعه، بررسی تغییرات پارامترهای بیوشیمیایی مرتبط با عملکرد کلیه شامل اوره، اوریک اسید و کراتینین در بیماران مبتلا به ام اس در حین مصرف دارو و مقایسه آن ها با گروه کنترل است. روش بررسی: در این مطالعه، سطح سرمی اوره، اوریک اسید و کراتینین در 52 بیمار مبتلا به ام اس اندازه گیری شد و با 52 فرد سالم که از نظر سنی و جنسی و BMI با گروه بیمار هماهنگ بودند، مقایسه گردید. در نهایت داده ها با استفاده از روش تی تست، شاخص های میانگین و انحراف معیار توسط نرم افزار SPSS تحلیل شدند. یافته ها: میانگین سطح سرمی اوره در گروه بیمار و سالم به ترتیب 58/4±38/14 و 33/4±86/13 میلی گرم بر دسی لیتر مشاهده شد. میانگین غلظت اسید اوریک در گروه بیمار 99/0±66/4 و در گروه سالم 06/1±64/4 میلی گرم بر دسی لیتر و میانگین غلظت کراتینین نیز در گروه بیمار و سالم به ترتیب 10/0±85/0 و 11/0±78/0 میلی گرم بر دسی لیتر به دست آمد. نتیجه گیری: یافته های این تحقیق نشان داد که سطح سرمی اوره، اسید اوریک و کراتینین هیچ تفاوت آماری معنی داری بین گروه بیمار و کنترل نداشت