Let (g) be a continuous and bounded function and let (left{F_{n}ight}_{n=1}^{infty}) be a sequence of distribution functions
Question:
Let \(g\) be a continuous and bounded function and let \(\left\{F_{n}ight\}_{n=1}^{\infty}\) be a sequence of distribution functions such that \(F_{n} \leadsto F\) as \(n ightarrow \infty\) where \(F\) is a distribution function. Prove that when \(b\) is a finite continuity point of \(F\), that
\[\lim _{n ightarrow \infty}\left|\int_{b}^{\infty} g(x) d F_{n}(x)-\int_{b}^{\infty} g(x) d F(x)ight|=0\]
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (1 review)
Answered By
Aysha Ali
my name is ayesha ali. i have done my matriculation in science topics with a+ . then i got admission in the field of computer science and technology in punjab college, lahore. i have passed my final examination of college with a+ also. after that, i got admission in the biggest university of pakistan which is university of the punjab. i am studying business and information technology in my university. i always stand first in my class. i am very brilliant client. my experts always appreciate my work. my projects are very popular in my university because i always complete my work with extreme devotion. i have a great knowledge about all major science topics. science topics always remain my favorite topics. i am also a home expert. i teach many clients at my home ranging from pre-school level to university level. my clients always show excellent result. i am expert in writing essays, reports, speeches, researches and all type of projects. i also have a vast knowledge about business, marketing, cost accounting and finance. i am also expert in making presentations on powerpoint and microsoft word. if you need any sort of help in any topic, please dont hesitate to consult with me. i will provide you the best work at a very reasonable price. i am quality oriented and i have 5 year experience in the following field.
matriculation in science topics; inter in computer science; bachelors in business and information technology
_embed src=http://www.clocklink.com/clocks/0018-orange.swf?timezone=usa_albany& width=200 height=200 wmode=transparent type=application/x-shockwave-flash_
4.40+
11+ Reviews
14+ Question Solved
Related Book For
Question Posted:
Students also viewed these Business questions
-
The life span X of a certain electrical appliance is exponentially distributed with density function where x measures time (in months). The appliance carries a 1-year warranty from the manufacturer....
-
Make up the competition in the vape pen industry. As well, as perform a situation analysis on the cannabis disposable pen industry. Provide the strengths and the weaknesses of the business. What are...
-
CANMNMM January of this year. (a) Each item will be held in a record. Describe all the data structures that must refer to these records to implement the required functionality. Describe all the...
-
Which of the below is the correct order of the consumption process? Question 2 options: Awareness; Thinking; Planning; Implementation/Action; Evaluation Evaluation; Thinking; Planning;...
-
When a chameleon captures an insect, its tongue can extend 16 cm in 0.10 s. (a) Find the magnitude of the tongue's acceleration, assuming it to be constant. (b) In the first 0.050 s, does the tongue...
-
For this problem, consider the single-line diagram for a building power system shown in Figure 8.34. In particular, the utility system short-circuit kVA capability is 850,000 kVA with X/R = 6.0....
-
The amount of heat required to raise the temperature by \(1^{\circ}\) of \(1 \mathrm{~g}\) of a substance is known as its (a) Heat capacity (b) Thermal conductivity (c) Specific heat (d) None of...
-
The Caplans own a real estate lot, and they contract with Faithful Construction, Inc., to build a house on it for $360,000.The specifications list all plumbing bowls and fixtures . . . to be Crane...
-
explain the neurobiological impact of chronic stress on the brain, and how this affects cognitive function and emotional regulation ?
-
Consider the sequence of distribution functions \(\left\{F_{n}ight\}_{n=1}^{\infty}\) where \[F_{n}(x)= \begin{cases}0 & x <0 \\ \frac{1}{2}+(n+2)^{-1} & 0 \leq x <1 \\ 1-(n+2)^{-1} & x \geq...
-
Let \(\left\{X_{n}ight\}_{n=1}^{\infty}\) be a sequence of random variables that converge in distribution to a random variable \(X\) where \(X_{n}\) has distribution function \(F_{n}\) for all \(n...
-
Show the comparisons the naive string matcher makes for the pattern P = 0001 in the text T = 000010001010001.
-
In a process using threads, is there one stack per thread, or one stack per process? Explain.
-
I need help finding different real life scenarios that use single threaded and multi threaded processes. -I need a scenario that uses only a single threaded process (besides a credit card...
-
Compare and contrast the use of Processes vs. Threads for concurrent processing. You should have 5 or more advantages or disadvantages.
-
C alculate the linear Velocity at which a cyclist displaces if its tires have 9 0 cm of diameter and give 3 6 turn every 1 0 s .
-
Please describe what a Beowulf cluster is and how it works. In your description, compare a Beowulf cluster to a Windows server cluster and the strengths and weaknesses of each.
-
Julio Sanchez manages the cutting department of Guzman Timber Company. He purchased a tree-cutting machine on January 1, 2011, for $400,000. The machine had an estimated useful life of five years and...
-
Identify Thank You mission, strategy and core competencies. Identify strategy changes that have taken place at Thank You since its founding in 2008. Your answer must in text references and must be...
-
Which of AD is FALSE? A. We use the symbol to represent the population mean. B. We use the symbol x to represent the sample mean. C. The symbols p and x are both used to represent statistics. D. The...
-
Use the One Mean applet, choose the Bootstrapping option at the top, and paste in the MarriageAgesDiff data. What are the mean and standard deviation for the data (with the appropriate symbol)? A. x...
-
Do you feel comfortable generalizing your conclusions to all cell phone users? If not, is there a population you feel you can generalize your conclusions to? Now suppose you asked 1,858 people...
-
entory LO P1 Compute ending work in process inventory for a manufacturer using the following information. Raw materials purchased Direct materials used Direct labor used Factory overhead Work in...
-
Four departments of a company need to order the following amounts of the same products. (a) Use matrix multiplication to get a matrix showing the comparative costs for each department for the...
-
The trial balance columns of the worksheet for Cullumber Company at June 30, 2027, are as follows. Cullumber Company Worksheet For the Month Ended June 30, 2027 Trial Balance Account Titles Dr. Cr....
Study smarter with the SolutionInn App