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CURRICULUM VITAE JEFFREY S. BUZAS Department of Mathematics and Statistics
CURRICULUM VITAE JEFFREY S. BUZAS Department of Mathematics and Statistics

I. Inertial Versus Causal Models
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... A.3. Interpolate where appropriate. A. 1.350 B. 0.675 C. 0.773 D. 1.546 E. 1.196 Answer: A. The 75th percentile is 0.674, and by symmetry of the standard normal density function, the 25th percentile is -0.674. Thus the interquartile range is 1.348 ≈ 1.35. 18. Suppose the force acting on a column tha ...
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... c) proportion of “odds” rolled on a fair six-sided dice 11) Comment on the following statement: “The standard deviation of a sampling distribution is 0.08. In order to cut the standard deviation in half, the sample size would need to be doubled.” 12) A large high school has approximately 1200 senior ...
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Foundations of statistics

Foundations of statistics is the usual name for the epistemological debate in statistics over how one should conduct inductive inference from data. Among the issues considered in statistical inference are the question of Bayesian inference versus frequentist inference, the distinction between Fisher's ""significance testing"" and Neyman-Pearson ""hypothesis testing"", and whether the likelihood principle should be followed. Some of these issues have been debated for up to 200 years without resolution.Bandyopadhyay & Forster describe four statistical paradigms: ""(1) classical statistics or error statistics, (ii) Bayesian statistics, (iii) likelihood-based statistics, and (iv) the Akaikean-Information Criterion-based statistics"".Savage's text Foundations of Statistics has been cited over 10000 times on Google Scholar. It tells the following.It is unanimously agreed that statistics depends somehow on probability. But, as to what probability is and how it is connected with statistics, there has seldom been such complete disagreement and breakdown of communication since the Tower of Babel. Doubtless, much of the disagreement is merely terminological and would disappear under sufficiently sharp analysis.
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