Handbook of Statistical Distributions with Applications

نویسنده

  • S. E. Ahmed
چکیده

muchhistorical scholarshipwasof anarrative form and that the recent availability of mapping techniques allows the development of a geographic or spatial aspect to the discipline. The book comprises an introductory paper followed by nine essays which are presented either as a pure casestudy or as a methodological perspective on the topic. The five case-studies are concerned with mapping of ancient China, the extent and severity of the 1930 dust bowl in the American mid-West, mapping settlement and land use patterns in 17thcentury Massachusetts, routes and measurement systems in ancient Rome and a study of the terrain surrounding Gettysburg at the time of the American Civil War battle. This list shows that historical GISs can be applied to a wide range of geographical scales, from empires to the hills surrounding a small town. Inevitably the case-studies are of a specialized nature. The remaining methodological essays, however, have the potential to be more widely appreciated. The first methodological essay is on the philosophy of teaching history by using a GIS from a non-technical, liberal arts, perspective. This essay uses a range of case-studies to illustrate how to initiate analysis and to develop problem solving skills, how to engage students, where to locate data and how to form and test hypotheses. The second essay is a technical introduction to the principles of GISs showing how to integrate data from different spatial geographies (areal weighting) and how to assess spatial correlation empirically. This essay also includes an introduction to geographically weighted regression. The third essay shows how spatial and temporal information can be used to reveal patterns in historical data that are hidden from a one-dimensional perspective. An early example of such a presentation isMinard’s famous map showing Napoleon’s 1812–1813 attempt to capture Moscow, revealing correlations between temporal data (e.g. time of year) and spatial data (e.g. location and size of army). The final methodological essay reflects on what impact historical GISs may have on the whole of historical studies. The book also includes a compact disc containing four well-produced PowerPoint presentations accompanying thebook’s case-studies.Thesemight be a valuable teaching resource but it would have been better if this additional material were linked to the more general methodological essays of the book. The disc also contains a Java application (ArcExplorer) and some maps and data from the book that provide an opportunity for an interactive experience with the material. Fully accepting that this book is written for historians I do not think that this is the best material for someone who is interested in the mapping and statistical interpretation of spatial data (Ripley (2004) is a good book in this respect). The middle two methodological essays on the principles of GISs and on integrating spatial and temporal informationwouldbeof interest to thegeneral statistician but are ultimately unfulfilling.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The Weibull Topp-Leone Generated Family of Distributions: Statistical Properties and Applications

Statistical distributions are very useful in describing and predicting real world phenomena. Consequently, the choice of the most suitable statistical distribution for modeling given data is very important. In this paper, we propose a new class of lifetime distributions called the Weibull Topp-Leone Generated (WTLG) family. The proposed family is constructed via compounding the Weibull and the ...

متن کامل

The Weighted Exponentiated Family of Distributions: Properties, Applications and Characterizations

In this paper a new method of introducing an additional parameter to a continuous distribution is proposed, which leads to a new class of distributions, called the weighted exponentiated family. A special sub-model is discussed. General expressions for some of the mathematical properties of this class such as the moments, quantile function, generating function and order statistics are derived;...

متن کامل

Distributions of the Ratios of Independent Kumaraswamy Variables and System Reliability Applications

‎In this article‎, ‎first of all‎, ‎the Kumaraswamy distribution is introduced‎. ‎Then‎, ‎the joint and marginal distributions of W = X1/X2 and T = X1/X1+X2 where X1 and X2 are independent Kumaraswamy random variables‎, ‎are obtained and the moments of these random variables are computed‎. ‎The distribution of random variables  W  and T  can be used in reliability studies and statistical models...

متن کامل

A Family of Skew-Slash Distributions and Estimation of its Parameters via an EM Algorithm

Abstract. In this paper, a family of skew-slash distributions is defined and investigated. We define the new family by the scale mixture of a skew-elliptically distributed random variable with the power of a uniform random variable. This family of distributions contains slash-elliptical and skew-slash distributions. We obtain the moments and some distributional properties of the new family of d...

متن کامل

Skew-slash distribution and its application in topics regression

In many issues of statistical modeling, the common assumption is that observations are normally distributed. In many real data applications, however, the true distribution is deviated from the normal. Thus, the main concern of most recent studies on analyzing data is to construct and the use of alternative distributions. In this regard, new classes of distributions such as slash and skew-sla...

متن کامل

two- sided power distribution

In this paper, a new family of distributions with many applications in financial engineering have been introduced. This distribution contains important statistical distributions such as the triangular, exponential and uniform distribution. Initially considered a special case of this distribution And then survey The important features of it. How to calculate maximum likelihood estimates are pres...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Technometrics

دوره 49  شماره 

صفحات  -

تاریخ انتشار 2007