Journal of Statistical Research of Iran
http://jsri.srtc.ac.ir
Journal of Statistical Research of Iran JSRI - Journal articles for year 2009, Volume 5, Number 2Yektaweb Collection - http://www.yektaweb.comen2009/3/11Higher Order Moments and Recurrence Relations of Order Statistics from the Exponentiated Gamma Distribution
http://jsri.srtc.ac.ir/browse.php?a_id=116&sid=1&slc_lang=en
<p><span style="line-height: 1.6em;">Order statistics arising from exponentiated gamma (EG) distribution are considered. Closed from expressions for the single and double moments of order statistics are derived. Measures of skewness and kurtosis of the probability density function of the </span><em style="line-height: 1.6em;">r</em><span style="line-height: 1.6em;">th order statistic for different choices of </span><em style="line-height: 1.6em;">r</em><span style="line-height: 1.6em;">, n</span><span style="line-height: 1.6em;"> and /theta</span><span style="line-height: 1.6em;"> are presented. Recurrence relations between single and double moments of </span><em style="line-height: 1.6em;">r</em><span style="line-height: 1.6em;">th order statistics are obtained. Single moment generating function (MGF) is derived in closed form. Also, we establish several recurrence relations between single MGF.</span></p>
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R. BakobanOn Some Properties and Estimation of a Skew Symmetric Density Function
http://jsri.srtc.ac.ir/browse.php?a_id=121&sid=1&slc_lang=en
<p><span style="line-height: 1.6em;"> In this paper we consider a general setting of skew-symmetric distribution which was constructed by Azzalini (1985), and its properties are presented. A suitable empirical estimator for a skew-symmetric distribution is proposed. In data analysis, by comparing this empirical model with the estimated skew-normal distribution, we show that the proposed empirical model has a better fit in density estimation, via some simulations.</span></p>
M. Towhidi The Rate of Rényi Entropy for Irreducible Markov Chains
http://jsri.srtc.ac.ir/browse.php?a_id=117&sid=1&slc_lang=en
<p>In this paper, we obtain the Rényi entropy rate for irreducible-aperiodic Markov chains with countable state space, using the theory of countable nonnegative matrices. We also obtain the bound for the rate of Rényi entropy of an irreducible Markov chain. Finally, we show that the bound for the Rényi entropy rate is the Shannon entropy rate.</p>
Leila GolshaniFitting Propagation Models with Random Grains, Method and Some Simulation Studies
http://jsri.srtc.ac.ir/browse.php?a_id=118&sid=1&slc_lang=en
<p>In this paper the regression problem for random sets of the Boolean model type is developed, where the corresponding poisson process of the model is related to some explanatory variables and the random grains are not affected by these variables. A model we call propagation model, is presented and some methods for fitting this model are introduced. Propagation model is applied in a simulation study</p>
M. KhazaeiEffect of Non-Normality on Sampling Plan Using Yule’s Model
http://jsri.srtc.ac.ir/browse.php?a_id=120&sid=1&slc_lang=en
<p><span style="line-height: 1.6em;">In this paper, the effect of non-normality on sampling plan using Yule’s model (second order auto regressive model {AR (2)}) represented by the Edgeworth series is studied for known $sigma$</span><span style="line-height: 1.6em;">. The effect of using the normal theory sampling plan in a non-normal situation using Yule’s model is studied by obtaining the distorted errors of the first and second kind. As one will be interested in having a suitable sampling plan under Yule’s model for non-normal variables the values of n</span><span style="line-height: 1.6em;"> and k</span><span style="line-height: 1.6em;"> are determined.</span></p>
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Mujahida SayyedCentral Limit Theorem in Multitype Branching Random Walk
http://jsri.srtc.ac.ir/browse.php?a_id=119&sid=1&slc_lang=en
<p>A discrete time multitype (<em>p</em>-type) branching random walk on the real line R is considered. The positions of the <em>j</em>-type individuals in the <em>n</em>-th generation form a point process. The asymptotic behavior of these point processes, when the generation size tends to infinity, is studied. The central limit theorem is proved.</p>
A. Rahimzadeh SaniPoint and Interval Estimation for the Burr Type III Distribution
http://jsri.srtc.ac.ir/browse.php?a_id=115&sid=1&slc_lang=en
<p dir="rtl" style="text-align: left;"><span style="line-height: 1.6em;">In this paper, we study the estimation problems for the Burr type III distribution based on a complete sample. The maximum likelihood method is used to derive the point estimators of the parameter. An exact confidence interval and an exact joint confidence region for the parameters are constructed. Two numerical examples with real data set and simulated data, are presented to illustrate the methods proposed here.</span></p>
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A. Asgharzade