Mixing Coefficients Between Discrete and Real Random Variables: Computation and Properties
نویسندگان
چکیده
منابع مشابه
On Deviations Between Empirical and Quantile Mixing Random Variables
Let {X,) be a strictly stationary &mixing process with &zl 4’/“(j) < co. It is shown in the paper that if Xi is uniformly distributed on the unit interval, then, for any t E [0, 11, I F;‘(t) t + F,(t) t 1 = O(r+l’(log log n)s/&) a.s. and sup,<t<i [F;‘(t) t + F,(t) t [ = O(n-s14(log n)l/a(log log n)‘/*) a.s., where F,, and F;‘(t) denote the sample distribution function and tth sample quantile, r...
متن کاملESTIMATORS BASED ON FUZZY RANDOM VARIABLES AND THEIR MATHEMATICAL PROPERTIES
In statistical inference, the point estimation problem is very crucial and has a wide range of applications. When, we deal with some concepts such as random variables, the parameters of interest and estimates may be reported/observed as imprecise. Therefore, the theory of fuzzy sets plays an important role in formulating such situations. In this paper, we rst recall the crisp uniformly minimum ...
متن کاملProbability Generating Functions for Discrete Real Valued Random Variables
The probability generating function is a powerful technique for studying the law of finite sums of independent discrete random variables taking integer positive values. For real valued discrete random variables, the well known elementary theory of Dirichlet series and the symbolic computation packages available nowadays, such as Mathematica 5 TM, allows us to extend to general discrete random v...
متن کاملEntropy and thinning of discrete random variables
We describe five types of results concerning information and concentration of discrete random variables, and relationships between them. These results are motivated by their counterparts in the continuous case. The results we consider are information theoretic approaches to Poisson approximation, the maximum entropy property of the Poisson distribution, discrete concentration (Poincaré and loga...
متن کاملDiscrete Random Variables and Probability Distributions
Suppose a city’s traffic engineering department monitors a certain intersection during a one-hour period in the middle of the day. Many characteristics might be of interest to the observers, including the number of vehicles that enter the intersection, the largest number of vehicles in the left turn lane during a signal cycle, the speed of the fastest vehicle going through the intersection, the...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IEEE Transactions on Automatic Control
سال: 2014
ISSN: 0018-9286,1558-2523
DOI: 10.1109/tac.2013.2281481