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This example will show that, in a sample X 1, X 2 of size 2 from a normal distribution with known variance, the statistic X 1 + X 2 is complete and sufficient. Suppose X 1 , X 2 are independent , identically distributed random variables, normally distributed with expectation θ and variance 1.
The bibliographic database (without full-text dissertations) is known as Dissertation Abstracts or Dissertation Abstracts International. PQDT annually publishes more than 90% of all dissertations submitted from accredited institutions of higher learning in North America as well as from colleges and universities in Europe and Asia.
An open thesis, also known as an open dissertation, is a thesis that is freely available for members of the public to access upon publication, and often also during the planning and writing process. The decision to write an open thesis is made by the author, who will usually explain their rationale for creating an open thesis as part of the ...
In statistics, multiple correspondence analysis (MCA) is a data analysis technique for nominal categorical data, used to detect and represent underlying structures in a data set. It does this by representing data as points in a low-dimensional Euclidean space .
A full-text database or a complete-text database is a database that contains the complete text of books, dissertations, journals, magazines, newspapers or other kinds of textual documents. They differ from bibliographic databases (which contain only bibliographical metadata , including abstracts in some cases) and non-bibliographic databases ...
In statistics, separation is a phenomenon associated with models for dichotomous or categorical outcomes, including logistic and probit regression.Separation occurs if the predictor (or a linear combination of some subset of the predictors) is associated with only one outcome value when the predictor range is split at a certain value.
The theory of statistics provides a basis for the whole range of techniques, in both study design and data analysis, that are used within applications of statistics. [1] [2] The theory covers approaches to statistical-decision problems and to statistical inference, and the actions and deductions that satisfy the basic principles stated for these different approaches.
The use of descriptive and summary statistics has an extensive history and, indeed, the simple tabulation of populations and of economic data was the first way the topic of statistics appeared. More recently, a collection of summarisation techniques has been formulated under the heading of exploratory data analysis : an example of such a ...
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