Lectures On the Theory of Industrial Sampling Preface And Summary of the Text

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Lectures On the Theory of Industrial Sampling Preface And Summary of the Text
J H Curtiss
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F. To the lot frequency d. F. Under random sampling are stated carefully, but with- out proofs. Finally the generalization to place selections which forms the characterization of "randomness" contained within the present approach to probability theory, is stated but not proved. Practical implications of these theorems are noted. An example of a uniformly distrib- uted non-random sequence is given.
Section 8. Random selection versus non-random selection . A discussion of the advantages of probab
...ility sampling in the light of the theoi'ems of Section 7. The discussion centers on a simple example.
Section 9. On insuring that sampling is random . Theory and use of tables of random sampling numbers. It is proved that if the digits of a multi-digit number have a uniform distrib- ution and are independently distributed, then this property carries over to the number itself. Various conditional distributions, relative to rejection of blocks of numbers in a table of random numbers, are established, and their application is described.


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