Central limit theorem

The main aim of this article is to estimate the upper bound in the central limit theorem for independent but not necessarily identically distributed random variables under Lyapunov's conditions via the Zolotarev probability metric. The obtained result is the rate of convergence in the central limit theorem for independent random variables.

4p spiritedaway36 28-11-2021 2 0   Download

Bài giảng "Toán trong công nghệ - Chương 7: Sums of random variables" cung cấp cho người học các kiến thức: Mean and variance, PDF of sums of independent RVs, laws of large numbers, central limit theorems. Mời các bạn cùng tham khảo.

16p larachdumlanat128 05-01-2021 18 0   Download

Thus, in this paper, we will construct an estimation scheme for Γ(A) based on an irregular sample {Xti, i = 0, 1, . . .} of X and study its asymptotic behavior. In particular, we first introduce an unbiased estimator for when X is a standard Brownian motion and provide a functional central limit theorem (Theorem 2.2) for the error process.

14p tamynhan8 04-11-2020 3 0   Download

Chapter 8 - Sampling methods and the central limit theorem. When you have completed this chapter, you will be able to: Explain why a sample is the only feasible way to learn about a population, describe methods to select a sample, define and construct a sampling distribution of the sample mean, explain the central limit theorem, use the central limit theorem to find probabilities of selecting possible sample means from a specified population.

12p abcxyz123_04 30-03-2020 5 0   Download

The chi-square distribution with n degrees of freedom has an important role in probability, statistics and various applied fields as a special probability distribution. This paper concerns the relations between geometric random sums and chi-square type distributions whose degrees of freedom are geometric random variables.

5p viminotaur2711 29-10-2019 21 0   Download

The asymptotic properties of a general functional of the Gasser–Muller estimator are investigated in the Sobolev space. The convergence rate, consistency, and central limit theorem are established.

12p danhdanh27 07-01-2019 19 0   Download

This paper presents the ways of quantification of flow time qualifications that can be used for planning or other stochastic processes by employing Clark’s methods, central limit theorem and Monte Carlo simulation. The results of theoretical researches on superponed flow time quantification for complex activities and events flow in PERT network for project management are also presented.

13p vinguyentuongdanh 19-12-2018 38 0   Download

Chapter 14A - Determining sample size. This chapter presents the following content: Random samples, increasing precision, confidence levels & the normal curve, standard errors, central limit theorem, estimates of dining visits, calculating sample size for questions involving means,...

16p dien_vi01 21-11-2018 25 3   Download

(bq) part 1 book "basic statistics for business & economics" has contents: what is statistics, describing data - frequency distributions and graphic presentation; describing data - numerical measures; a survey of probability concepts; discrete probability distributions; continuous probability distributions; sampling methods and the central limit theorem.

261p bautroibinhyen23 02-04-2017 83 7   Download

(bq) part 1 book "statistical techniques in business & economics" has contents: what is statistics, describing data - numerical measures, describing data - displaying and exploring data, a survey of probability concepts, discrete probability distributions, sampling methods and the central limit theorem

379p bautroibinhyen22 22-03-2017 139 9   Download

Chapter 8 - Sampling methods and the central limit theorem. After completing this unit, you should be able to: Explain why a sample is often the only feasible way to learn something about a population, describe methods to select a sample, define sampling error, describe the sampling distribution of the sample mean,...

15p whocare_e 04-10-2016 39 1   Download

Chapter 8 provides knowledge of sampling methods and central limit theorem. When you have completed this chapter, you will be able to: Explain under what conditions sampling is the proper way to learn something about a population, describe methods for selecting a sample, define and construct a sampling distribution of the sample mean,...

47p tangtuy09 21-04-2016 51 2   Download

Chapter 6 – Sampling and estimation. This chapter include objectives: Define simple random sampling, define and interpret sampling error, distinguish between time-series and cross-sectional data; state the central limit theorem and describe its importance, distinguish between a point estimate and a confidence interval estimate of a population parameter,...

27p allbymyself_10 03-03-2016 61 1   Download

Stable laws { also called -stable or Levy-stable { are a rich family of probability distributions that allow skewness and heavy tails and have many interesting mathematical properties. They appear in the context of the Generalized Central Limit Theorem which states that the only possible non-trivial limit of normalized sums of independent identically distributed variables is -stable. The Standard Central Limit Theorem states that the limit of normalized sums of independent identically distributed terms with nite variance is Gaussian (-stable with  = 2).

175p thuymonguyen88 07-05-2013 62 16   Download

We find a sharp combinatorial bound for the metric entropy of sets in Rn and general classes of functions. This solves two basic combinatorial conjectures on the empirical processes. 1. A class of functions satisfies the uniform Central Limit Theorem if the square root of its combinatorial dimension is integrable. 2. The uniform entropy is equivalent to the combinatorial dimension under minimal regularity. Our method also constructs a nicely bounded coordinate section of a symmetric convex body in Rn . ...

47p noel_noel 17-01-2013 52 8   Download

This volume brings together a collection of essays on the history and philosophy of probability and statistics by one of the eminent scholars in these subjects. Written over the last fifteen years, they fall into three broad categories. The first deals with the use of symmetry arguments in inductive probability, in particular, their use in deriving rules of succession (Carnap’s “continuum of inductive methods”).

293p camchuong_1 04-12-2012 34 2   Download

This is the sixth book of examples from the Theory of Probability. This topic is not my favourite, however, thanks to my former colleague, Ole Jørsboe, I somehow managed to get an idea of what it is all about. The way I have treated the topic will often diverge from the more professional treatment. On the other hand, it will probably also be closer to the way of thinking which is more common among many readers, because I also had to start from scratch.

167p sn_buon 29-11-2012 42 3   Download

Chance events are commonplace in our daily lives. Every day we face situations where the result is uncertain, and, perhaps without realizing it, we guess about the likelihood of one outcome or another. Fortunately, mastering the concepts of probability can cast new light on situations where randomness and chance appear to rule. In this fully revised second edition of Understanding Probability, the reader can learn about the world of probability in an appealing way.

454p chipmoon 19-07-2012 62 5   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Almost Sure Central Limit Theorem for a Nonstationary Gaussian Sequence

10p dauphong14 11-02-2012 38 4   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Almost Sure Central Limit Theorem for Product of Partial Sums of Strongly Mixing Random Variables

9p sting05 09-02-2012 57 6   Download