@incollection{hoeffding_probability_1994,
	address = {New York, NY},
	series = {Springer {Series} in {Statistics}},
	title = {Probability {Inequalities} for sums of {Bounded} {Random} {Variables}},
	isbn = {978-1-4612-0865-5},
	url = {https://doi.org/10.1007/978-1-4612-0865-5_26},
	abstract = {Upper bounds are derived for the probability that the sum S of n independent random variables exceeds its mean ES by a positive number nt. It is assumed that the range of each summand of S is bounded or bounded above. The bounds for PrS — ES≥nt depend only on the endpoints of the ranges of the summands and the mean, or the mean and the variance of S. These results are then used to obtain analogous inequalities for certain sums of dependent random variables such as U statistics and the sum of a random sample without replacement from a finite population.},
	language = {en},
	urldate = {2021-10-08},
	booktitle = {The {Collected} {Works} of {Wassily} {Hoeffding}},
	publisher = {Springer},
	author = {Hoeffding, Wassily},
	editor = {Fisher, N. I. and Sen, P. K.},
	year = {1994},
	doi = {10.1007/978-1-4612-0865-5_26},
	pages = {409--426},
}

{"_id":"SLfN6dfowT88TFivj","bibbaseid":"hoeffding-probabilityinequalitiesforsumsofboundedrandomvariables-1994","author_short":["Hoeffding, W."],"bibdata":{"bibtype":"incollection","type":"incollection","address":"New York, NY","series":"Springer Series in Statistics","title":"Probability Inequalities for sums of Bounded Random Variables","isbn":"978-1-4612-0865-5","url":"https://doi.org/10.1007/978-1-4612-0865-5_26","abstract":"Upper bounds are derived for the probability that the sum S of n independent random variables exceeds its mean ES by a positive number nt. It is assumed that the range of each summand of S is bounded or bounded above. The bounds for PrS — ES≥nt depend only on the endpoints of the ranges of the summands and the mean, or the mean and the variance of S. These results are then used to obtain analogous inequalities for certain sums of dependent random variables such as U statistics and the sum of a random sample without replacement from a finite population.","language":"en","urldate":"2021-10-08","booktitle":"The Collected Works of Wassily Hoeffding","publisher":"Springer","author":[{"propositions":[],"lastnames":["Hoeffding"],"firstnames":["Wassily"],"suffixes":[]}],"editor":[{"propositions":[],"lastnames":["Fisher"],"firstnames":["N.","I."],"suffixes":[]},{"propositions":[],"lastnames":["Sen"],"firstnames":["P.","K."],"suffixes":[]}],"year":"1994","doi":"10.1007/978-1-4612-0865-5_26","pages":"409–426","bibtex":"@incollection{hoeffding_probability_1994,\n\taddress = {New York, NY},\n\tseries = {Springer {Series} in {Statistics}},\n\ttitle = {Probability {Inequalities} for sums of {Bounded} {Random} {Variables}},\n\tisbn = {978-1-4612-0865-5},\n\turl = {https://doi.org/10.1007/978-1-4612-0865-5_26},\n\tabstract = {Upper bounds are derived for the probability that the sum S of n independent random variables exceeds its mean ES by a positive number nt. It is assumed that the range of each summand of S is bounded or bounded above. The bounds for PrS — ES≥nt depend only on the endpoints of the ranges of the summands and the mean, or the mean and the variance of S. These results are then used to obtain analogous inequalities for certain sums of dependent random variables such as U statistics and the sum of a random sample without replacement from a finite population.},\n\tlanguage = {en},\n\turldate = {2021-10-08},\n\tbooktitle = {The {Collected} {Works} of {Wassily} {Hoeffding}},\n\tpublisher = {Springer},\n\tauthor = {Hoeffding, Wassily},\n\teditor = {Fisher, N. I. and Sen, P. K.},\n\tyear = {1994},\n\tdoi = {10.1007/978-1-4612-0865-5_26},\n\tpages = {409--426},\n}\n\n\n\n","author_short":["Hoeffding, W."],"editor_short":["Fisher, N. I.","Sen, P. K."],"key":"hoeffding_probability_1994","id":"hoeffding_probability_1994","bibbaseid":"hoeffding-probabilityinequalitiesforsumsofboundedrandomvariables-1994","role":"author","urls":{"Paper":"https://doi.org/10.1007/978-1-4612-0865-5_26"},"metadata":{"authorlinks":{}},"html":""},"bibtype":"incollection","biburl":"https://bibbase.org/zotero/mh_lenguyen","dataSources":["iwKepCrWBps7ojhDx"],"keywords":[],"search_terms":["probability","inequalities","sums","bounded","random","variables","hoeffding"],"title":"Probability Inequalities for sums of Bounded Random Variables","year":1994}