An inequality satisfied by the Gamma function

Abstract

1. Summary

For all real values of α and λ satisfying α + λ > 0, α ≠ 0, α ≠ 1, λ > 0 the following inequality involving the Gamma function holds:

This follows from a general inequality for the variance of regular unbiased estimators given by Cramér [1].     

On a generalization of Gautschi's inequality

Abstract

In this note a generalization of Gautschi's inequality satisfied by the gamma function is obtained.     

Gurland's inequality for the gamma function

Asbtract

Using properties of statistical estimates Gurland [1] has shown that      

A moment inequality with an application to the central limit theorem

Abstract

Consider a sequence of independent random variables (r.v.) X ₁ X ₂, …, X_n , … , with the same distribution function (d.f.) F(x). Let E (X_n ) = 0, _E , E (?(X)) denoting the mean value of the r.v. ? (X). Further, let the r.v. where have the d.f. F _n (x). It was proved by Berry [1] and the present author (Esseen [2], [4]) that Φ(x) being the normal d.f.      

安永报告:中国企业并购意愿强烈

2011年2月17日,安永在京发布每半年进行的《资本信心晴雨表》,该调查显示,2011年中国公司拥有加速寻求收购的资金、动力和机会;随着企业信心恢复,经济逐渐复苏,中国国内和海外并购蓄势待发,预计将于2011年下半年提速。     

特殊普通合伙与事务所做大做强

经深圳市四届人大常委会十次会议第二次修订通过的《深圳经济特区注册会计师条例》(以下简称《条例》)于2007年3月1日正式实施。《条例》     

An explicit martingale version of the one-dimensional Brenier theorem

By investigating model-independent bounds for exotic options in financial mathematics, a martingale version of the Monge–Kantorovich mass transport problem was introduced in (Beiglböck et al. in Finance Stoch. 17:477–501, 2013; Galichon et al. in Ann. Appl. Probab. 24:312–336, 2014). Further, by suitable adaptation of the notion of cyclical monotonicity, Beiglböck and Juillet (Ann. Probab. 44:42–106, 2016) obtained an extension of the one-dimensional Brenier theorem to the present martingale version. In this paper, we complement the previous work by extending the so-called Spence–Mirrlees condition to the case of martingale optimal transport. Under some technical conditions on the starting and the target measures, we provide an explicit characterization of the corresponding optimal martingale transference plans both for the lower and upper bounds. These explicit extremal probability measures coincide with the unique left- and right-monotone martingale transference plans introduced in (Beiglböck and Juillet in Ann. Probab. 44:42–106, 2016). Our approach relies on the (weak) duality result stated in (Beiglböck et al. in Finance Stoch. 17:477–501, 2013), and provides as a by-product an explicit expression for the corresponding optimal semi-static hedging strategies. We finally provide an extension to the multiple marginals case.     

简析自助设备版本管理

随着金融自助设备品牌型号的日益增多,商业银行对自助设备版本的管理也相应复杂,投入增大,业务流程也不统一,影响了银行的统一形象。此外,自助设备上的广告宣传也无法起到应有的效果,银行重大事件的宣传和通告无法及时反映在自助设备上,造成一定的负面影响。自助设备跨平台软件的引入很好地解决了银行自助设备版本管理的困难,有助于业务流程的统一、新业务迅速发展及广告宣传实时播放或撤销,无疑为银行自助业务的发展奠定了坚实基础。自助设备跨平台软件在为银行版本管理提供便利的同时也带来了升级风险。     

Some evidence on the international inequality of real interest rates

This paper undertakes econometric tests of the hypothesis that ex-ante real interest rates are equal across countries with highly integrated capital markets. The issue is of practical importance because the violation of real rate equality is a necessary condition for monetary policy to influence the open economy through the real interest rate channel. Although an empirical literature concerning real rate equality already exists, previous investigators have focused on pre-tax real rates. This paper contributes to the literature by attempting to incorporate the effects of taxation into the analysis.     

Simultaneous estimation of the location and scale parameters of the gamma distribution by linear functions of order statistics

Summary

Large sample estimation of the origin (α₁ and the scale parameter (α₂ of the gamma distribution when the shape parameter m is known is considered. Assuming both parameters are unknown, the optimum spacings (0<λ₁<λ₂<...λ _k <1) determining the maximum efficiences among other choices of the same number of observations are obtained. The coefficients to be used in computing the estimates, their variances and their asymptotic relative efficiencies (A.R.E.) relative to the Cramer Rao lower bounds are given.     

发挥注册会计师鉴证作用健全财政监督管理职能

注册会计师事业是市场经济的基石.注册会计师的鉴证服务作用,不仅是财政监督职能的延伸和拓展,而且是财政职能的重要组成部分.     

The double dividend and the role of inequality aversion and macroeconomic regimes

The introduction of the European Community's carbon-energy tax in a small open economy is analyzed by comparing two kinds of revenue recycling. We use a dynamic general-equilibrium model with different regimes for the labor market, several income groups, and a crude valuation of environmental benefits. This allows for a more comprehensive empirical test of the double-dividend hypothesis, including equity aspects. It is shown that the weak double-dividend hypothesis can fail when equity aspects are taken into account.     

简析工商银行信用卡系统版本整合升级

中国人民银行于1999年3月1日颁布施行的<银行卡业务管理办法>中对透支利息的计算做出了规定:持卡人信用卡账户内发生的所有透支不论时间长短、是否超过信用额度均为日息万分之五,约为年息18%;如果加上对透支后未清偿部分以月为单位收取复利等因素,年息大约为18.25%.     

Unbiased estimates of reliability for the truncated gamma distribution

Abstract

This paper derives the minimum variance unbiased estimate of the reliability function associated with the gamma distribution which is right truncated at a known point by using the classical minimum variance unbiased estimation method as outlined and initiated by Basu (1964). The techniques given are general and can be used to estimate not only the probability in the upper tail (reliability) of a distribution but also the probability content of any other region. In the sequel, the distribution of the minimal sufficient statistic, useful in inferential problems, is also obtained. A result of Basu is deduced as a particular case.     

银行应用软件开发及版本发布的实施策略

近年来,各银行已建立集中的核心业务系统和众多外围系统,这为银行业务的发展提供了很好的支持.要想使IT系统对业务的推动力持久化,就需要高度关注银行内部的IT开发组织.随着IT开发组织面临的应用软件越来越复杂,原来的粗放办法已经无法保障软件的质量.银行业务的创新和发展对IT开发组织施加了无形的压力,管理者希望工作进程能够做到快速、稳定、有序、安全.     

新版国际收支系统推广经验和体会

日前，国家外汇管理局新版国际收支统计监测系统（以下简称“新版国际收支系统”）正在全国逐步分批上线，国家外汇管理局海南省分局（以下简称“海南省分局”）新版国际收支系统作为整个系统的分中心，也按国家外汇管理局的时间要求上线。在新版国际收支系统上线之前，针对该系统，国家外汇管理局总局已向分局下发了诸多文件，并要求海南省分局转发给辖内支局及外汇指定银行。这些文件包括新版国际收支系统的软硬件采购要求、银行数据接口规范、新版国际收支系统上线的社会宣传工作等方面的内容。     

The role of wealth in the money demand function: A comment

This paper raises two criticisms with respect to the result advanced by Ando and Shell according to which money demand should be independent from wealth variations. First, it is shown that, even within the assumptions of the Ando and Shell model, there is in general a range of wealth variation over which money balances respond positively to wealth. Second, the result of those authors is criticized on the basis that it essentially derives from an inadequate comparative statics experiment on asset demands.