# Central limit theorem

Xem 1-20 trên 27 kết quả Central limit theorem
• ### The rate of convergence in the central limit theorem via Zolotarev probability metric

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.

• ### Bài giảng Toán trong công nghệ: Chương 7 - Nguyễn Linh Trung, Trần Thị Thúy Quỳnh

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.

• ### On discrete approximation of occupation time of diffusion processes with irregular sampling

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.

• ### Lecture Statistical techniques in business and economics (14/e): Chapter 8 - Lind, Marchal, Wathen

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.

• ### On chi-square type distributions with geometric degrees of freedom in relation to geometric sums

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.

• ### Functionals of Gasser-Muller estimators

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.

• ### The distribution of time for clark’s flow and risk assessment for the activities of pert network structure

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.

• ### Lecture Business research methods (12/e): Chapter 14A - Donald R. Cooper, Pamela S. Schindler

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,...

• ### basic statistics for business & economics (5th edition): part 1

(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.

• ### statistical techniques in business & economics (17th edition): part 1

(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

• ### Lecture Basic statistics for business & economics (8/e): Chapter 8 – Lind, Marchal, Wathen

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,...

• ### Lecture Statistical techniques in business and economics - Chapter 8: Sampling methods and central limit theorem

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,...

• ### Lecture Quantitative investment analysis: Chapter 6 – CFA Institute

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,...

• ### Statistical Tools in Finance and Insurance

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).

• ### Đề tài " Combinatorics of random processes and sections of convex bodies "

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 . ...

• ### Symmetry and Its Discontents

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”).

• ### Probability Examples c-6 Continuous Distributions

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.

• ### Understanding Probability Chance Rules in Everyday Life by Leonard Mlodinow

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.

• ### Báo cáo hóa học: " Research Article Almost Sure Central Limit Theorem for a Nonstationary Gaussian Sequence"

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

• ### Báo cáo hóa học: " Research Article Almost Sure Central Limit Theorem for Product of Partial Sums of Strongly Mixing Random Variables"

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