Discrete Linnik Weibull distribution

Abstract

We introduce a new family of distributions using truncated discrete Linnik distribution. This family is a rich family of distributions which includes many important families of distributions such as Marshall–Olkin family of distributions, family of distributions generated through truncated negative binomial distribution, family of distributions generated through truncated discrete Mittag–Leffler distribution etc. Some properties of the new family of distributions are derived. A particular case of the family, a five parameter generalization of Weibull distribution, namely discrete Linnik Weibull distribution is given special attention. This distribution is a generalization of many distributions, such as extended exponentiated Weibull, exponentiated Weibull, Weibull truncated negative binomial, generalized exponential truncated negative binomial, Marshall-Olkin extended Weibull, Marshall–Olkin generalized exponential, exponential truncated negative binomial, Marshall–Olkin exponential and generalized exponential. The shape properties, moments, median, distribution of order statistics, stochastic ordering and stress–strength properties of the new generalized Weibull distribution are derived. The unknown parameters of the distribution are estimated using maximum likelihood method. The discrete Linnik Weibull distribution is fitted to a survival time data set and it is shown that the distribution is more appropriate than other competitive models.     

Minimax property of stein's estimator

Stein's estimator and some other estimators of the mean of a K-variate normal distribution are known to dominate the maximum likelihood estimator under quadratic loss for K > 3, and are therefore minimax. In this paper it is shown that the minimax property of Stein's rule is preserved with respect to a generalized loss function.     

Some Reflections on the Legacies of Michael White: An Australian Perspective

This article, which appears in a special 30‐year anniversary edition of the Australian and New Zealand Journal of Family Therapy, reflects on the legacies of the work of Michael White. It begins by looking back on Michael's time as editor of the Australian Journal of Family Therapy. Of the many themes that were discussed in the Editorials and Letters to the Editor section of this journal in the early 1980s, this article focuses on three in particular to explore the legacies of the work of Michael White. The author describes how Michael has bequeathed not only a profound body of work, but also a distinctive spirit of originating, and ways of working that consider the effects of social issues and that examine the politics of experience. It is the author's hope that this approach to considering Michael White's legacies honours his work and also honours the contributions of the Australian and New Zealand Journal of Family Therapy in its 30th year.     

Changepoint Estimation in a Segmented Linear Regression via Empirical Likelihood

For a segmented regression system with an unknown changepoint over two domains of a predictor, a new empirical likelihood ratio statistic is proposed to test the null hypothesis of no change. Under the null hypothesis of no change, the proposed test statistic is shown empirically to be Gumbel distributed with robust location and scale estimators against various parameter settings and error distributions. A power analysis is conducted to illustrate the performance of the test. Under the alternative hypothesis with a changepoint, the test statistic is utilized to estimate the changepoint between the two domains. A comparison of the frequency distributions between the proposed estimator and two parametric methods indicates that the proposed method is effective in capturing the true changepoint.     

SHIFTED HILL'S ESTIMATOR FOR HEAVY TAILS

Hill's estimator is a popular method for estimating the thickness of heavy tails. In this paper we modify Hill's estimator to make it shift-invariant as well as scale-invariant. The resulting shifted Hill's estimator is a more robust method of estimating tail thickness.

     

Interdisciplinary Practice in Developmental Disabilities

ABSTRACT

This article explores the development of interdisciplinary team practice within the field of development disabilities. Various interdisciplinary models are described, and the role of the social worker is specifically reviewed. As social workers practice as members of teams in a variety of contexts, a greater understanding of an interdisciplinary approach is warranted.     

唐代的家族、地域与国家认同——唐代“归葬”现象考察

出土的唐代墓志中出现了较多的归葬现象：从唐帝国的边缘地区归葬于国家的中心长安、洛阳。唐代国家观念中的天下观与家国观,蕴含着地域观念和家族观念：地域上是对天下中心的王朝核心区的归属与认同,家族上以忠孝方式表达对家国的忠诚。这为分析唐代的国家认同提供了理路。迁葬或归葬这种耗资巨大的行为仪式即唐代士大夫阶层朴素的国家认同的表达方式。分析唐人的国家认同与唐代社会的互动,有助于吸取历史养分,理解影响国家认同的因素,促进现代的国家认同。     

Spirituality and child welfare reunification: a narrative analysis of successful outcomes

When children are removed from their families because of maltreatment, the child welfare system seeks reunification whenever possible. Despite the importance of this goal, little is known about families who are able to achieve and maintain successful reunification. This qualitative study conducted in‐depth interviews with 15 families who completed their child welfare case plans, were reunited with their children and remained together for at least 1 year post‐reunification. Narrative analysis using a combination of thematic and structural coding was completed to examine the strengths and process families discussed related to their successful child welfare outcomes. This paper discusses one of those strengths, spirituality, in greater depth. Specifically, 12 participants situated the strength of spirituality within their stories as an important narrative element they perceived as critical, leading to important changes. Findings highlight the benefits some families receive from their spiritual beliefs, practices and faith communities when working towards reunification, suggesting child welfare practitioners be prepared to identify and honour this family strength.     

额什丁家族史论

考察 14世纪以后的苏非派 ,不应忽视额什丁家族的重要作用。这一家族并不是中亚显赫的家族 ,但在特定时期登上了历史的舞台 ,并且其家族首领扮演了较为特别的角色。同时 ,他们和上层统治者有着千丝万缕的联系。这似乎是一种历史的偶然性或者是巧合 ,但仔细探究当时的历史背景 ,不难看出宗教和政治自身需要的内在互动以及或明或暗的结合 ,完成了家族的双重“使命” ,也为一个王朝的灭亡埋下了伏笔     

关于汉族、达斡尔族家庭教养方式的跨文化比较研究

本研究采取的是同一地区不同民族跨文化比较研究,目的是通过汉族和达斡尔族学生家长的取样测试,揭示汉族、达斡尔族家庭教养方式的民族差异,探讨有关影响因素,为合理、有效的家庭教育提供科学依据。