Asymptotic properties of the tail distribution and Hill’s estimator for shot noise sequence

Author:

Zhang Chenhua,McCormick William P.

Publisher

Springer Science and Business Media LLC

Subject

Economics, Econometrics and Finance (miscellaneous),Engineering (miscellaneous),Statistics and Probability

Reference24 articles.

1. Barbe, P., McCormick, W.: Asymptotic expansions for infinite weighted convolutions of heavy tail distributions and applications. Mem. Am. Math. Soc. 197, 1–117 (2009)

2. Bartlett, M.S.: The spectral analysis of point processes. J. R. Stat. Ser. B. 25, 264–296 (1963)

3. Bingham, N.H., Goldie, C.M., Teugels, J.L.: Regular Variation, 2nd edn. Cambridge University Press, Cambridge (1989)

4. Cheng, S., Peng, L.: Confidence intervals for the tail index. Bernoulli 7, 751–760 (2001)

5. Chow, Y.S., Teicher, H.: Probability Theory: Independence, Interchangeability, Martingales, 2nd edn. Springer-Verlag, New York (1988)

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