Gamma-Maxwell distribution

A new two-parameter distribution, the gamma-Maxwell distribution, isproposed and studied. We generate the new distribution using the gamma-G generator of distributions. The proposal distribution can be seen as an extension of the Maxwell distribution with more flexibility in terms of the distribution asymmetry and kurtosis. We study some probability properties, discuss maximum-likelihood estimation and present a real data application indicating that the new distribution can improve the ordinary Maxwell distribution in fitting real data.     

New V control chart for the Maxwell distribution

Control charts have been popularly used as a user-friendly yet technically sophisticated tool to monitor whether a process is in statistical control or not. These charts are basically constructed under the normality assumption. But in many practical situations in real life this normality assumption may be violated. One such non-normal situation is to monitor the process variability from a skewed parent distribution where we propose the use of a Maxwell control chart. We introduce a pivotal quantity for the scale parameter of the Maxwell distribution which follows a gamma distribution. Probability limits and L-sigma limits are studied along with performance measure based on average run length and power curve. To avoid the complexity of future calculations for practitioners, factors for constructing control chart for monitoring the Maxwell parameter are given for different sample sizes and for different false alarm rate. We also provide simulated data to illustrate the Maxwell control chart. Finally, a real life example has been given to show the importance of such a control chart.     

Extension of the Application of Conway‐Maxwell‐Poisson Models: Analyzing Traffic Crash Data Exhibiting Underdispersion

The objective of this article is to evaluate the performance of the COM‐Poisson GLM for analyzing crash data exhibiting underdispersion (when conditional on the mean). The COM‐Poisson distribution, originally developed in 1962, has recently been reintroduced by statisticians for analyzing count data subjected to either over‐ or underdispersion. Over the last year, the COM‐Poisson GLM has been evaluated in the context of crash data analysis and it has been shown that the model performs as well as the Poisson‐gamma model for crash data exhibiting overdispersion. To accomplish the objective of this study, several COM‐Poisson models were estimated using crash data collected at 162 railway‐highway crossings in South Korea between 1998 and 2002. This data set has been shown to exhibit underdispersion when models linking crash data to various explanatory variables are estimated. The modeling results were compared to those produced from the Poisson and gamma probability models documented in a previous published study. The results of this research show that the COM‐Poisson GLM can handle crash data when the modeling output shows signs of underdispersion. Finally, they also show that the model proposed in this study provides better statistical performance than the gamma probability and the traditional Poisson models, at least for this data set.     

-1/2E~2(?)ε 1/2(?)(E~2τδε/δτ)的物理诠释

本文分析了(-1/2)E~2?ε (1/2)?(E~2τ(?ε)/(?τ))的物理意义,并指出ε在表面处是变量,不能提出积分号外。     

平面电磁波在两种不同媒质中传播特性的比较

从麦克斯韦方程出发,对平面电磁波在两种不同媒质中的传播进行了具体的分析、比较,说明电磁波的传播与媒质有很大关系。     

Tail behavior of the generalized Maxwell distribution

Abstract

In this article, we investigate the tail propertiesof the generalized Maxwell distribution and gain an asymptoticbehavior of its Mills-type ratio. Meanwhile, we show two applications. The first application thinks about the asymptotic property of the ratio of density functions and the ratio of the tails of the generalized Maxwell and classical Maxwell distributions. Another application obtains the asymptotic distribution of the partial maximum of an independent and identically distributed sequence from the distribution.     

Reliability Characteristics of the Maxwell Distribution: A Bayes Estimation Study

ABSTRACT

This article presents maximum likelihood, Bayes, and empirical Bayes estimators of the truncated first moment and hazard function of the Maxwell distribution. A comparison of the relative efficiency of these three estimators is performed via a Monte Carlo simulation study.     

基与Maxwell与Simplorer的三相异步电机绕组调速系统仿真

针对电动汽车电机驱动系统的宽调速范围要求,分析一种通过改变定子绕组等效匝数来拓宽三相异步电机调速 范围的方法,由于采用该调速方法在绕组切换过程中会引起电机参数突变,目前还缺乏有效的暂态过程分析手段,无法 应对可能的电流冲击、转矩波动甚至功率器件损毁等情况。本文基于场路耦合仿真的解决思路,重点讨论如何使用 M axwell与Simplorer软件工具对绕组切换的暂态过程进行联合仿真,解决其中9抽头电机建模、端部参数提取以及控制 环路设计等问题。研究表明联合仿真结果准确,可以作为有效分析的手段。     

On the generalized process capability under simple and mixture models

Process capability (PC) indices measure the ability of a process of interest to meet the desired specifications under certain restrictions. There are a variety of capability indices available in literature for different interest variables such as weights, lengths, thickness, and the life time of items among many others. The goal of this article is to study the generalized capability indices from the Bayesian view point under different symmetric and asymmetric loss functions for the simple and mixture of generalized lifetime models. For our study purposes, we have covered a simple and two component mixture of Maxwell distribution as a special case of the generalized class of models. A comparative discussion of the PC with the mixture models under Laplace and inverse Rayleigh are also included. Bayesian point estimation of maintenance performance of the system is also part of the study (considering the Maxwell failure lifetime model and the repair time model). A real-life example is also included to illustrate the procedural details of the proposed method.     

从热力学第二定律探析《拍卖第49批》中的秩序和混乱

托马斯·品钦是美国最重要的后现代作家。他的代表作《拍卖第49批》描写了主人公在混乱荒谬的现代社会中为寻找意义和恢复秩序所做的努力。品钦运用了热力学第二定律和马克斯韦尔小精灵等科学概念,刻画了现代社会中秩序和混乱对立并存的矛盾关系,由此揭示了现代社会中人类失去生活的意义并处于精神荒芜状态的悲剧内涵。