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Exponential families related to Chernoff-type inequalities
G. R. Mohtashami Borzadaran 대한수학회 2002 대한수학회지 Vol.39 No.4
In this paper, the characterization results related to linebreakChernoff-type inequalities are applied for exponential-type(continuous and discrete) families. Upper variance bound isobtained here with a slightly different technique used inAlharbi and Shanbhag [1] and Mohtashami Borzadaran andShanbhag [8]. Some results are shown with assumingmeasures such as non-atomic measure, atomic measure,Lebesgue measure and counting measure as special cases ofLebesgue-Stieltjes measure. Characterization results on power seriesdistributions via Chernoff-type inequalities are corollaries to our results.
EXPONENTIAL FAMILIES RELATED TO CHERNOFF-TYPE INEQUALITIES
Bor, G.R.Mohtashami Korean Mathematical Society 2002 대한수학회지 Vol.39 No.4
In this paper, the characterization results related to Chernoff-type inequalities are applied for exponential-type (continuous and discrete) families. Upper variance bound is obtained here with a slightly different technique used in Alharbi and Shanbhag [1] and Mohtashami Borzadaran and Shanbhag [8]. Some results are shown with assuming measures such as non-atomic measure, atomic measure, Lebesgue measure and counting measure as special cases of Lebesgue-Stieltjes measure. Characterization results on power series distributions via Chernoff-type inequalities are corollaries to our results.
Alireza Mohtashami 한국임상영양학회 2019 Clinical Nutrition Research Vol.8 No.2
Nigella sativa (N. sativa) is one of important herbal foods in traditional medicine and many studies have conducted to show the effects of this plant on several diseases. The goal of this study was the evaluation of effects of bread with N. Sativa on clinical parameters such as blood glucose, blood pressure (BP) and anthropometry indices in subjects with metabolic syndrome (MetS). A study as double-blind, cross-over, randomized clinical trial was performed in 51 MetS patients in Chalus, north region of Iran. After dividing of Patients randomly in 2 groups, in phase 1, intervention group (A, n = 27) used daily a bread with N. sativa and control group (B, n = 24) used the same bread but without N. sativa for 2 months. After considering of 15 day wash out period, phase 2 was began with changing of position of 2 groups. Measuring of parameters including fasting blood glucose (FBG), systolic blood pressure (SBP), diastolic blood pressure (DBP), weight, and body mass index (BMI) and waist circumference (WC), was done before and after of 2 phases. After evaluation of treatment, sequence and time effects of intervention on parameters, it is shown that consumption of this bread has not significant treatment effect ( as main effect) on FBG, SBP, DBP, WC, weight, and BMI (p > 0.05). Sequence effect on FBG, weight, WC, and BMI was significant (p < 0.05), but was not on BP. Time effect was only significant for DBP. Consumption of bread with N. sativa in MetS patients has not significant effect on FBG, BP, weight, WC, and BMI.
( Alireaz Mohtashami ),( Behzad Mahaki ),( Leila Azadbakht ),( Mohammad Hasan Entezari ) 한국임상영양학회 2016 Clinical Nutrition Research Vol.5 No.2
Nigella sativa (N.sativa) has been used in traditional medicine and many studies have been performed in different communities in order to reveal the effects of it on medical disorders and chronic diseases. The aim of this study was to investigate the effects of bread with N. Sativa on lipid profiles, apolipoproteins, and inflammatory factors in metabolic syndrome (MetS) patients. A randomized, double-blind, cross-over and clinical trial was conducted in 51 MetS patients of both sexes with age group of 20-65 years old in Chaloos, north of Iran. Patients were randomly divided in two groups. In phase 1, intervention group (A, n = 27) received daily a bread with N. sativa and wheat bran and control group (B, n = 24) received the same bread without N. sativa for 2 months. After 2 weeks of wash out period, phase 2 was started with switch the intervention between two groups. Measuring of lipid profiles, apolipoproteins and inflammatory factor was performed for all patients before and after two phases. In this study, treatment, sequence and time effects of intervention were evaluated and revealed that consumption of bread with N. sativa has no significant treatment and time effects on triglyceride (TG), cholesterol (CHOL), low density lipoprotein (LDL), high density lipoprotein (HDL), apolipoprotein (APO)-A, APO-B and high-sensitivity C-reactive protein (p > 0.05). Sequence effect was significant on CHOL, LDL, APO-A, and APO-B (p < 0.05) but was not significant on other parameters (p > 0.05). Consumption of bread with N. sativa has no a significant effect on lipid profiles, apolipoproteins and inflammatory factor in MetS patients.
A Note Based on Multiparameter Discrete Exponential Families in View of Cacoullos-type Inequalities
Borzadaran, G. R. Mohtashami The Korean Statistical Society 2007 Communications for statistical applications and me Vol.14 No.1
In this note, we obtained results related to multiparameter discrete exponential families on considering lattice or semi-lattice in place of N (Natural numbers) in view of Cacoullos-type inequalities via the same arguments in Papathanasiou (1990, 1993).
Kullback-Leibler Information in View of an Extended Version of κ-Records
Ahmadi, Mosayeba,Mohtashami Borzadaran, G.R. The Korean Statistical Society 2013 Communications for statistical applications and me Vol.20 No.1
This paper introduces an extended version of ${\kappa}$-records. Kullback-Leibler (K-L) information between two generalized distributions arising from ${\kappa}$-records is derived; subsequently, it is shown that K-L information does not depend on the baseline distribution. The behavior of K-L information for order statistics and ${\kappa}$-records, is studied. The exact expressions for K-L information between distributions of order statistics and upper (lower) ${\kappa}$-records are obtained and some special cases are provided.
The Proportional Likelihood Ratio Order for Lindley Distribution
Jarrahiferiz, J.,Mohtashami Borzadaran, G.R.,Rezaei Roknabadi, A.H. The Korean Statistical Society 2011 Communications for statistical applications and me Vol.18 No.4
The proportional likelihood ratio order is an extension of the likelihood ratio order for the non-negative absolutely continuous random variables. In addition, the Lindley distribution has been over looked as a mixture of two exponential distributions due to the popularity of the exponential distribution. In this paper, we first recalled the above concepts and then obtained various properties of the Lindley distribution due to the proportional likelihood ratio order. These results are more general than the likelihood ratio ordering aspects related to this distribution. Finally, we discussed the proportional likelihood ratio ordering in view of the weighted version of the Lindley distribution.
Power Comparison of Independence Test for the Farlie-Gumbel-Morgenstern Family
Amini, M.,Jabbari, H.,Mohtashami Borzadaran, G.R.,Azadbakhsh, M. The Korean Statistical Society 2010 Communications for statistical applications and me Vol.17 No.4
Developing a test for independence of random variables X and Y against the alternative has an important role in statistical inference. Kochar and Gupta (1987) proposed a class of tests in view of Block and Basu (1974) model and compared the powers for sample sizes n = 8, 12. In this paper, we evaluate Kochar and Gupta (1987) class of tests for testing independence against quadrant dependence in absolutely continuous bivariate Farlie-Gambel-Morgenstern distribution, via a simulation study for sample sizes n = 6, 8, 10, 12, 16 and 20. Furthermore, we compare the power of the tests with that proposed by G$\ddot{u}$uven and Kotz (2008) based on the asymptotic distribution of the test statistics.
Families of Distributions Arising from Distributions of Ordered Data
Ahmadi, Mosayeb,Razmkhah, M.,Mohtashami Borzadaran, G.R. The Korean Statistical Society 2015 Communications for statistical applications and me Vol.22 No.2
A large family of distributions arising from distributions of ordered data is proposed which contains other models studied in the literature. This extension subsume many cases of weighted random variables such as order statistics, records, k-records and many others in variety. Such a distribution can be used for modeling data which are not identical in distribution. Some properties of the theoretical model such as moment, mean deviation, entropy criteria, symmetry and unimodality are derived. The proposed model also studies the problem of parameter estimation and derives maximum likelihood estimators in a weighted gamma distribution. Finally, it will be shown that the proposed model is the best among the previously introduced distributions for modeling a real data set.
Moshkbar-Bakhshayesh Khalil,Mohtashami Soroush 한국원자력학회 2022 Nuclear Engineering and Technology Vol.54 No.11
Precise modelling of the interaction of ions with materials is important for many applications including material characterization, ion implantation in devices, thermonuclear fusion, hadron therapy, secondary particle production (e.g. neutron), etc. In this study, a new approach using the Geant4 toolkit in combination with the Bayesian regularization (BR) learning algorithm of the feed-forward neural network (FFNN) is developed to estimate the range of ions in materials accurately and quickly. The different incident ions at different energies are interacted with the target materials. The Geant4 is utilized to model the interactions and to calculate the range of the ions. Afterward, the appropriate architecture of the FFNN-BR with the relevant input features is utilized to learn the modelled ranges and to estimate the new ranges for the new cases. The notable achievements of the proposed approach are: 1- The range of ions in different materials is given as quickly as possible and the time required for estimating the ranges can be neglected (i.e. less than 0.01 s by a typical personal computer). 2- The proposed approach can generalize its ability for estimating the new untrained cases. 3- There is no need for a pre-made lookup table for the estimation of the range values.