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Normal distribution
Normal distribution

... (b) Suppose that a suitcase will not be accepted for storage if it is oversize or overweight. Suppose further that 20% of the suitcases are overweight and then 50% of the oversize suitcases are also overweight. (i) What is the probability that a suitcase will be accepted? (ii) Calculate the probabil ...
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... data in one scan of images. This is exemplified in genomic studies using microarrays, tiling arrays, and proteomic techniques. In the analysis of microarray data, and in some other contemporary statistical problems, we often wish to make statistical inference simultaneously for all important paramet ...
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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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