In the context of the proof of Theorem 4.20, use Theorem A. 22 to prove that (left[1-frac{1}{2}

Question:

In the context of the proof of Theorem 4.20, use Theorem A. 22 to prove that $\left[1-\frac{1}{2} n^{-1} t^{2}+o\left(n^{-1}ight)ight]^{n}=\left[1-\frac{1}{2} n^{-1} t^{2}ight]+o\left(n^{-1}ight)$ as $n ightarrow \infty$ for fixed $t$.

image text in transcribed

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Introduction To Statistical Limit Theory

ISBN: 9780367383138

1st Edition

Authors: Alan M. Polansky

See More Books

Question Posted: Mar 15, 2024 02:00 AM

See More Questions

PLEASE GIVE CORRECT ANSWERS Prove that the number of comparators in any sorting network is (n log n). [4 marks] (ii) What does Part (d)(i) imply in terms of the depth of any sorting network? [1 mark]...
Briefly describe ASCII and Unicode and draw attention to any relationship between them. [3 marks] (b) Briefly explain what a Reader is in the context of reading characters from data. [3 marks] A...
Q1. You have identified a market opportunity for home media players that would cater for older members of the population. Many older people have difficulty in understanding the operating principles...
Suppose we want both the sensitivity and specificity to be at least 70%. Use the ROC curve to identify the possible value(s) to use as the cutoff for identifying people with dementia, based on these...
The first active volcano observed outside the Earth was discovered in 1979 on Io, one of the moons of Jupiter. The volcano was observed to be ejecting material to a height of about 3.00 105 m. Given...
What type of decision making helps coordinate the operations of international subsidiaries? LO11
The notation and concepts in this exercise are from Appendix A. Suppose there are three possible states of the world which are equally likely, so = {1,2,3} with P({1}) = P({2}) = P({3}) = 1/3. Let G...
Miramaar Manufacturing Co. maintains the following accounts in the general ledger: Materials, Work in Process, Factory Overhead, and Accounts Payable. On June 1, the materials account had a debit...
Francis bought his primary residence for $175,000 in the summer of 2017. At closing, he also paid $500 for title insurance and $215 to record the deed. In the spring of 2021, Francis paid $1,625 to...
Let $\left\{X_{n}ight\}_{n=1}^{\infty}$ be a sequence of independent and identically distributed random variables where $X_{n}$ has a $\operatorname{Exponential}(\theta)$ distribution. Prove...
Let $\left\{X_{n}ight\}_{n=1}^{\infty}$ and $\left\{Y_{n}ight\}_{n=1}^{\infty}$ be sequences of random variables that converge in distribution as $n ightarrow \infty$ to the random variables...
A mail-order clothing retailer is interested in improving the accuracy of its customer service agents who enter customer orders into the firm's computerized record system. To monitor the accuracy of...
Business Solutions's second-quarter 2022 fixed budget performance report for its computer furniture operations follows. The $175,750 budgeted expenses include $126,000 in variable expenses for desks...
Problem 2 (Numerical Integration) Using switch Statement and functions, write a single code to compute the following integral. 0 10 x +4 dx case 1: RECTANGULAR () // Rectangular rule case 2:...
Do you believe the elasticity of illicit narcotics is inelastic and if legalized demand will not increase? Do you also believe that many of society's social ills associated with drugs will ease not...
Stockstone Limited makes electric kettles that they currently sell at 13 each. The management believes that the company's equipment could currently produce up to 70,000 units of electric kettles per...
Jane Smith has worked for the Widgets, Weezles, and Warblers Corporation for the past 25 years. At a recent "Town Hall" meeting, Jane asked two members of the executive leadership team about their...
Should firms value multiple assets acquired in a lump sum purchase separately? Explain.
l ask this second time correnct answer is 38,01 can we look pls Consider a non-conducting rod of length 8.8 m having a uniform charge density 4.5 nC/m. Find the electric potential at P, a...
Student researchers were interested in whether people will be more likely to choose the name-brand cookie (Chips Ahoy) over the store-brand (Chipsters) in a blind taste test. They tested this with 20...
Suppose a friend of yours says she is a 75% free-throw shooter in basketball. You dont think she is that good and want to test her to gather evidence that she makes less than 75% of her free throws...
Suppose you are testing the hypotheses H 0 : = 0.50 versus H a : > 0.50. You get a sample proportion of 0.68 and find that your standardized statistic is 2.53. Now suppose you redid your study with...
explain in excel please For a particular product the price per unit is $6. Calculate Revenue if sales in current period is 200 units. Conduct a data analysis, on revenue by changing the number of...
Hall Company sells merchandise with a one-year warranty. In the current year, sales consist of 35,000 units. It is estimated that warranty repairs will average $10 per unit sold and 30% of the...
Q 4- Crane Corporation, an amusement park, is considering a capital investment in a new exhibit. The exhibit would cost $ 167,270 and have an estimated useful life of 7 years. It can be sold for $...

In the context of the proof of Theorem 4.20, use Theorem A. 22 to prove that (left[1-frac{1}{2}

Question:

1 Theorem 4.20 (Lindeberg and Lvy). Let {X} be a sequence of inde- pendent and identically distributed random variables such that E(X) = and V(X) = 0 < for all n = N, then Z = n(Xn - ) Z as n o where Z has a N(0, 1) distribution.

Step by Step Answer:

Introduction To Statistical Limit Theory

Students also viewed these Business questions