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Part of the book series: Springer Texts in Statistics ((STS))

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Abstract

This chapter provides brief introductions to a number of important topics which have not been touched upon in the rest of the book, namely, (1) classification of an observation in one of several groups, (2) principal components analysis which splits the data into orthogonal linear components in the order of the magnitudes of their variances, and (3) sequential analysis in which observations are taken one-by-one until the accumulated evidence becomes decisive.

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Notes

  1. 1.

    See Proposition 3.7 in Bhattacharya and Waymire (2007), noting that logX n is a sum of i.i.d. random variables under both H 0 and H 1.

  2. 2.

    Theorem 3.6 in Bhattacharya and Waymire (2007).

  3. 3.

    See (Bhattacharya and Waymire, 2007, p. 47).

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Bhattacharya, R., Lin, L., Patrangenaru, V. (2016). Miscellaneous Topics. In: A Course in Mathematical Statistics and Large Sample Theory. Springer Texts in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-4032-5_15

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