Generalized polya eggenberger family of distributions and its relation to lagrangian katz family

Janardan (1973) introduced the generalized Polya Eggenberger family of distributions (GPED) as a limiting distribution of the generalized Markov-Polya distribution (GMPD). Janardan and Rao (1982) gave a number of characterizing properties of the generalized Markov-Polya and generalized Polya Eggenberger distributions. Here, the GPED family characterized by four parameters, is formally defined and studied. The probability generating function, its moments, and certain recurrence relations with the moments are provided. The Lagrangian Katz family of distributions (Consul and Famoye (1996)) is shown to be a sub-class of the family of GPED (or GPED ₁ ) as it is called in this paper). A generalized Polya Eggenberger distribution of the second kind (GPED ₂ ) is also introduced and some of it's properties are given. Recurrence relations for the probabilities of GPED ₁ and GPED ₂ are given. A number of other structural and characteristic properties of the GPED ₁ are provided, from which the properties of Lagrangian Katz family follow. The parameters of GMPD ₁ are estimated by the method of moments and the maximum likelihood method. An application is provided.     

A one-sided test for testino homogeneity of scale parameters against simple ordered alternative

In an earlier paper the authors (1997) extended the results of Hayter (1990) to the two parameter exponential probability model. This paper addressee the extention to the scale parameter case under location-scale probability model. Consider k (k≧3) treatments or competing firms such that an observation from with treatment or firm follows a distribution with cumulative distribution function (cdf) F_i(x)=F[(x-μ_i)/Q_i], where F(·) is any absolutely continuous cdf, i=1,…,k. We propose a test to test the null hypothesis H₀:θ₁=…=θ_k against the simple ordered alternative H₁:θ₁≦…≦θ_k, with at least one strict inequality, using the data X_i,j, i=1,…k; j=1,…,n₁. Two methods to compute the critical points of the proposed test have been demonstrated by talking k two parameter exponential distributions. The test procedure also allows us to construct simultaneous one sided confidence intervals (SOCIs) for the ordered pairwise ratios θ_j/θ_i, 1≦i<j≦k. Statistical simulation revealed that: 9i) actual sizes of the critical points are almost conservative and (ii) power of the proposed test relative to some existing tests is higher.     

PROPERTIES OF THE MINIMUM POINT OF AN UNBALANCED TWO-SIDED RANDOM WALK

In this paper, properties of minimum point of a unbalanced two-sided random walk are investigated. Under the condition that the parameters at both sides tend to zero at the same order, probabilities that the minimum point is on which side, and the second order expansions for the first two moments of the minimum point are obtained. Applications of these results are very promising. First, they can be used to study the properties of the maximum likelihood estimator for the change point in the large sample case; second, they can be used to study inference problems after CUSUM test.     

Third-Order Asymptotic Distributions of Classic Test Statistics for One-Parameter Exponential Family Models

ABSTRACT

In this article we derive third-order asymptotic expansions for the non null distribution functions of four classic statistics under a sequence of local alternatives in one-parameter exponential family models. Our results are quite general and cover a wide range of important distributions.     

A Characterization of the Normal Family of Distributions Based on the Bias of the Maximum Likelihood Estimator

This paper characterizes the family of Normal distributions within the class of exponential families of distributions, via the structure of the bias of the maximum likelihood estimator Θ _n of the canonical parameter Θ . More specifically, when E _θ ( Θ n ) – Θ = (1/ n ) Q ( Θ ) + o (1/ n ), the equality Q ( Θ ) = 0 proves to be a property of the Normal distribution only. The same conclusion is obtained for the one-dimensional case bt assuming that Q ( Θ ) is a polynomial of Θ .     

人口结构、家庭资本与农民的政府满意度

基于2017年全国调查数据的分析,探讨中国农民对政府的满意度现状,并运用多元线性回归模型重点研究人口结构特征、家庭资本和政治资本对政府满意度的影响。研究发现：农民对各级政府的满意度从基层到高层依次递增,且总体上呈现出上升趋势。政治身份与农民的政府满意度呈正向关系,即党员和村干部身份的农民对政府的满意度相对更高。家庭年收入对政府满意度呈现出显著的正向影响,即家庭年收入越高,其对政府满意度就会越高;但家庭负债与政府满意度呈现出负相关性,即家庭越负债,其对政府满意度越低。农民对政策的满意度以及农民的政治认同感也对政府满意度有显著的正面影响,尤其是保障性政策满意度与国家认同度越高,农民对政府的满意度也会越高。     

鉴真弟子法进的在日活动——鉴真和上解任僧纲为止

法进是鉴真和上弟子中最为特殊的一位,其不仅与鉴真同样位至大僧都,而且还继承了东大寺戒坛院和唐禅院,在奈良时代的佛教界发挥了巨大的作用。在戒律思想传至日本、最初展开的时期,朝廷对鉴真僧团极为期待。法进跟随鉴真和上同心协力,不负众望,大力推动了戒坛的建立、授戒的展开、经论的讲读、经典的书写等。此外,法进本人也携带大量经论赴日,倾力于戒律思想的传播。鉴真僧团结识当时的实力者即以光明皇太后为首的藤原仲麻吕等藤原一族并建立了良好的关系,其中法进功不可没。     

1957年关于人口问题的大讨论

1957年,在国家高层认识到需要控制人口和实行计划生育并发表了一系列关于人口问题的讲话后,理论界就中国人口问题进行了广泛而深入的讨论,并在重要理论问题上基本达成一致。这场讨论,奠定了当代中国计划生育人口政策的基调,使计划生育人口政策的酝酿和实施有了坚实的群众性基础;积淀了关于人口问题的丰厚理论底蕴,为现行计划生育人口政策的酝酿和实施以及新世纪以后人口理论的复苏奠定了基础。     

人民性:习近平家庭文明建设重要论述的真谛

人民性是“以人民为中心”发展思想的高度凝炼和集中体现,也是习近平关于家庭文明建设系列重要论述的真谛。从主体维度看,人民是习近平倡导的新时代家庭文明建设的承载者、守护者和创新者。从目标维度看,加强新时代家庭物质文明、精神文明、政治文明建设的目标分别是:提高人民的获得感、幸福感、安全感,增强人民的归属感、认同感、荣誉感,提升人们的清净感、信任感、亲情感。从价值维角度看,坚持以人为本的价值基础、民族复兴的价值理想和社会和谐的价值标准,可以实现人民性的价值取向。     

企业家社会资本与家族企业的二次创业

家族企业的二次创业不仅需要企业内部制度改革、人力资本的优化,还需要社会资本的提升。社会资本理论的应用为解决家族企业发展问题提供了新途径,通过改善社会信用环境、提高企业家的能动性及建立企业中间组织等方法提升企业内部社会资本,改善经营机制,突破家族困境。