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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 four-document hypothesis or four-source hypothesis is an explanation for the relationship between the three Gospels of Matthew, Mark, and Luke.It posits that there were at least four sources to the Gospel of Matthew and the Gospel of Luke: the Gospel of Mark and three lost sources (Q, M, and L).
Mathematical statistics is the application of probability theory and other mathematical concepts to statistics, as opposed to techniques for collecting statistical data. [1] Specific mathematical techniques that are commonly used in statistics include mathematical analysis , linear algebra , stochastic analysis , differential equations , and ...
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The NIV Study Bible is a study Bible originally published by Zondervan in 1985 that uses the New International Version (NIV). Revisions include one in 1995, a full revision in 2002, an update in October 2008 for the 30th anniversary of the NIV, another update in 2011 (with the text updated to the 2011 edition of the NIV), and a fully revised update in 2020 named "Fully Revised Edition". [1]
Importance: Made measure-theoretic probability the standard language for advanced statistics in the English-speaking world, following its earlier adoption in France and the USSR. Statistical Decision Functions. Author: Abraham Wald Publication data: 1950. John Wiley & Sons. Description: Exposition of statistical decision theory as a foundations ...
The three-source hypothesis is a candidate solution to the synoptic problem.It combines aspects of the two-source hypothesis and the Farrer hypothesis.It states that the Gospel of Matthew and the Gospel of Luke used the Gospel of Mark and a sayings collection as primary sources, but that the Gospel of Luke also used the Gospel of Matthew as a subsidiary source.
The conceptual foundations of the statistical approach in mechanics. German Encyclopedia of Mathematical Sciences. Translated by Michael J. Moravcsik (1959) Ithaca: Cornell University Press; (1990) New York: Dover ISBN 0-486-66250-0