Functional limit theorems

Ebook Advanced calculus (2nd Edition) presents the following content: Chapter 1: numbers; chapter 2: sequences; chapter 3: functions, limits, and continuity; chapter 4: derivatives; chapter 5: integrals; chapter 6: partial derivatives; chapter 7: vectors; chapter 8: applications of partial derivatives; chapter 9: multiple integrals; chapter 10: line integrals, surface integrals, and integral theorems; chapter 11: infinite series; chapter 12: improper integrals; chapter 13: fourier series; chapter 14: fourier integrals; chapter 15: gamma and beta functions; chapter 16: functions of a complex...

442p zizaybay1103 29-05-2024 3 2   Download

Ebook Calculus presents the following content: Chapter 1 basic properties of numbers, chapter 2 numbers of various sorts, chapter 3 functions, chapter 4 graphs, chapter 5 limits, chapter 6 continuous functions, chapter 7 three hard theorems, chapter 8 least upper bounds, chapter 9 derivatives, chapter 10 differentiation, chapter 11 significance of the derivative, chapter 12 inverse functions, chapter 13 integrals,...

630p zizaybay1103 29-05-2024 3 2   Download

Part 2 book "Mathematics for physics and physicists" includes content: Physical applications of the fourier transform; bras, kets, and all that sort of thing; green functions; tensors; differential forms; groups and group representations; introduction to probability theory; random variables; convergence of random variables - central limit theorem.

288p muasambanhan02 18-12-2023 4 2   Download

Part 1 of ebook "Understanding analysis" provides readers with contents including: chapter 1 - the real numbers; chapter 2 - sequences and series; chapter 3 - basic topology of R; chapter 4 - functional limits and continuity;...

155p thamnhuocgiai 24-09-2023 4 3   Download

Continued part 1, part 2 of ebook "Probability theory" provides readers with contents including: properties of the trajectories of random walks zero-one laws; random walks and factorisation identities; sequences of dependent trials markov chains; information and entropy; stationary sequences; stochastic recursive sequences; continuous time random processes; processes with independent increments; functional limit theorems;...

409p hanlinhchi 29-08-2023 6 3   Download

Ebook 3000 solved problems in calculus: Part 1 includes contents: Chapter 1 inequalities; chapter 2 absolute value; chapter 3 lines; chapter 4 circles; chapter 5 functions and their graphs; chapter 6 limits; chapter 7 continuity; chapter 8 the derivative; chapter 9 the chain rule; chapter 10 trigonometric functions and their derivatives; chapter 11 rolle's theorem, the mean value theorem, and the sign of the derivative; chapter 12 higher-order derivatives and implicit differentiation; chapter 13 maxima and minima; chapter 14 related rates; chapter 15 curve sketching (graphs); chapter 16 app...

179p haojiubujain01 06-06-2023 5 2   Download

Ebook Mathematics for Economists: Part 1 presents the following content: Limits and continuity; logarithmic differentiation; second and higher order differentiation; homogeneous function and euler’s theorem; use of differentiation in economics; maxima and minima: two variables and constrained maxima and minima with;...Please refer to the documentation for more details.

251p chankora 16-06-2023 3 2   Download

Part 1 of ebook "Mathematical statistics for economics and business" provide readers with content about: elements of probability theory; random variables, densities, and cumulative distribution functions; expectations and moments of random variables; parametric families of density functions; basic asymptotics; sampling, sample moments and sampling distributions;...

388p damtuyetha 16-02-2023 5 3   Download

Part 1 of book "Introduction to machine learning" provide with knowledge about: a taste of machine learning; probability theory; basic algorithms; density estimation; limit theorems; panzer windows; exponential families; maximum likelihood estimation;...

98p britaikridanik 05-07-2022 26 4   Download

In mathematical analysis, the intermediate value theorem states that if a continuous function, f, with an interval, [a, b], as its domain, takes values f(a) and f(b) at each end of the interval, then it also takes any value between f(a) and f(b) at some point within the interval. In lecture Mathematics 53 - Lecture 1.5, you will learn: The intermediate value theorem, the squeeze theorem, limits and continuity of trigonometric functions.

32p larachdumlanat122 26-11-2020 12 2   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 6 1   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 24 1   Download

The pressure is thus a given time-dependent function and the Coulomb criterion is reduced to a Mises-like standard law of friction. It is shown here that Melan and Koiter theorems can be applied again as in standard plasticity. The dependence of the yield limit on the loading amplitude is however not classical and the extension of the static and kinematic approaches is discussed to obtain the critical shakedown load or the limit load. The validity of the assumption of small coupling is also explored by numerical simulation in an practicle example.

9p thienthanquydu 21-10-2018 38 1   Download

Lecture Mathematics 53 - Lecture 1.1 provides knowledge of the limit of a function and one-sided limits. This chapter presents the following content: Limit of a function: An intuitive approach, limit theorems, one-sided limits.

34p allbymyself_06 26-01-2016 54 2   Download

Lecture Mathematics 53 - Lecture 1.4 provides knowledge of the continuity of functions. The main contents of this chapter include all of the following: Continuity of functions, continuity on an interval. Inviting you refer.

49p allbymyself_06 26-01-2016 35 2   Download

In mathematical analysis, the intermediate value theorem states that if a continuous function, f, with an interval, [a, b], as its domain, takes values f(a) and f(b) at each end of the interval, then it also takes any value between f(a) and f(b) at some point within the interval. In lecture Mathematics 53 - Lecture 1.5, you will learn: The intermediate value theorem, the squeeze theorem, limits and continuity of trigonometric functions.

27p allbymyself_06 26-01-2016 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 65 17   Download

The purpose of this book is to offer a unifying conceptual framework for the normative study of taxation and related subjects in public eco- nomics. Such a framework necessarily begins with a statement of the social objective, taken here to be the maximization of a conventional social welfare function, and then asks how various government instru- ments are best orchestrated to achieve it. The structure is built on the foundation provided by the fundamental theorems of welfare econom- ics.

477p layon_5 28-03-2013 59 14   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 . ...

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Trong bài báo này một số điều kiện nhất định để đảm bảo cho quá trình chuyển một đồng nhất Markov {X (t), t ≥ 0} pháp luật của các chức năng tách rời của quá trình: φ (X (t)) dt, hội tụ của pháp luật bình thườngN (0, σ 2) là T → ∞, trong đó φ là một ánh xạ từ không gian trạng thái E vào R.

19p phalinh21 01-09-2011 42 4   Download