References
- Chakraborti, S., F. Jardim, and E. Epprecht. 2019. Higher order moments using the survival function: The alternative expectation formula. The American Statistician 73 (2):191–4. doi:10.1080/00031305.2017.1356374.
- Cuadras, C. M. 2002. On the covariance between functions. Journal of Multivariate Analysis 81 (1):19–27. doi:10.1006/jmva.2001.2000.
- Hoeffding, W. 1940. Masstabinvariante korrelationtheorie. Schriften des Math. Inst. Angew. Math. Univ. Berlin 5:181–233.
- Hong, L. 2012. A remark on the alternative expectation formula. The American Statistician 66 (4):232–3. doi:10.1080/00031305.2012.726934.
- Hong, L. 2015. Another remark on the alternative expectation formula. The American Statistician 69 (3):157–9. doi:10.1080/00031305.2015.1049710.
- Kwong, H. S., and S. Nadarajah. 2018. Expectation formulas for integer valued multivaiate random variables. Communications in Statistics – Theory and Methods 47 (22):5514–8. doi:10.1080/03610926.2017.1395052.
- Lo, A. 2017. Functional generalizations of Hoeffding’s covariance lemma and a formula for Kendall’s tau. Statistics & Probability Letters 122:218–26. doi:10.1016/j.spl.2016.11.016.
- Lo, A. 2018. Demystifying the integrated tail probability expectation formula. The American Statistician. doi:10.1080/00031305.2018.1497541.
- Mardia, K. V. 1967. Some distributions to contingency-type bivariate distributions. Biometrika 54 (1–2):235–49. doi:10.1093/biomet/54.1-2.235.
- Mardia, K. V., and J. W. Thompson. 1972. Unified treatment of moment formulae. Sankhyä A 34:121–32.
- Nadarajah, S., and K. V. Mitov. 2003. Product moments of multivariate random vectors. Communications in Statistics – Theory and Methods 32 (1):47–60. doi:10.1081/STA-120017799.
- Song, P. F., C. C. Tan, and S. C. Wang. 2019. On the moment generating function for random vectors via inverse survival function. Statistics & Probability Letters 145:345–50. doi:10.1016/j.spl.2018.10.012.
- Song, P. F., and S. C. Wang. 2019. On the moment generating functions for integer valued random variables. Communications in Statistics – Theory and Methods 48 (20):5169–74. doi:10.1080/03610926.2018.1508716.