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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.
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.
A comparative study of the Gini coefficient estimators based on the regression approach
Mirzaei, Shahryar,Borzadaran, Gholam Reza Mohtashami,Amini, Mohammad,Jabbari, Hadi The Korean Statistical Society 2017 Communications for statistical applications and me Vol.24 No.4
Resampling approaches were the first techniques employed to compute a variance for the Gini coefficient; however, many authors have shown that an analysis of the Gini coefficient and its corresponding variance can be obtained from a regression model. Despite the simplicity of the regression approach method to compute a standard error for the Gini coefficient, the use of the proposed regression model has been challenging in economics. Therefore in this paper, we focus on a comparative study among the regression approach and resampling techniques. The regression method is shown to overestimate the standard error of the Gini index. The simulations show that the Gini estimator based on the modified regression model is also consistent and asymptotically normal with less divergence from normal distribution than other resampling techniques.
Protagonist Role of Opioidergic System on Post-Traumatic Stress Disorder and Associated Pain
Nikbakhtzadeh Marjan,Borzadaran Fatemeh Mohtashami,Zamani Elham,Shabani Mohammad 대한신경정신의학회 2020 PSYCHIATRY INVESTIGATION Vol.17 No.6
Objective Post-traumatic stress disorder (PTSD) and chronic pain often co-occur. Studies have shown an interaction between pain and PTSD. In this narrative review, we aim to support conducting comprehensive studies by describing PTSD, pain and determining whether opioidergic system, its agonist and antagonist manipulation could positively or negatively affect PTSD symptoms and concurrent pain.Methods Term searches was done in Google Scholar, Scopus, ScienceDirect, Web of Science and PubMed databases as well as hand searching in key resource journals from 1979–2019.Results There are a lot of contradictions and disputes when endogenous opioidergic system and opioidergic antagonist system are studied in PTSD patients. Exogenous morphine administration in PTSD patients can decrease the symptoms of PTSD but it doesn’t have a pain reduction effect to an acceptable level. Beta-endorphin as an endogenous opioid is effective in pain reduction in the moment of events but after minutes to hours, the endorphins withdrawal syndrome leads to exaggerated intrusive thoughts and flashbacks of PTSD, which exacerbate the pain. It has also been shown that naloxone, as an opioidergic antagonist, can reduce or increase the PTSD symptoms and its associated pain.Conclusion Data suggest different roles of opioidergic system and their antagonist in pain control and mood in PTSD. However, further investigations need to be done in order to reveal the role of endogenous opioidergic system and opioidergic antagonist system as a mediator in PTSD patients suffering from acute or chronic pain.
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.
A View on Extension of Utility-Based on Links with Information Measures
Hoseinzadeh, A.R.,Borzadaran, G.R.Mohtashami,Yari, G.H. The Korean Statistical Society 2009 Communications for statistical applications and me Vol.16 No.5
In this paper, we review the utility-based generalization of the Shannon entropy and Kullback-Leibler information measure as the U-entropy and the U-relative entropy that was introduced by Friedman et al. (2007). Then, we derive some relations between the U-relative entropy and other information measures based on a parametric family of utility functions.
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.