Suppose that (X) is a continuous random variable that takes on values in ((0,1)) and has characteristic
Question:
Suppose that \(X\) is a continuous random variable that takes on values in \((0,1)\) and has characteristic function \(\psi(t)=[\exp (i t)-1] / i t\). Use Theorem 2.28 to find the density of \(X\).
Transcribed Image Text:
Theorem 2.28. Consider a random variable X with characteristic function (t). If L** \v(t)]dt < , then X has an absolutely continuous distribution F with a bounded and con- tinuous density f given by 1 f(x) = 2 exp(-itx)(t)dt.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (QA)
Answered By
Gabriela Rosalía Castro
I have worked with very different types of students, from little kids to bussines men and women. I have thaught at universities, schools, but mostly in private sessions for specialized purpuses. Sometimes I tutored kids that needed help with their classes at school, some others were high school or college students that needed to prepare for an exam to study abroud. Currently I'm teaching bussiness English for people in bussiness positions that want to improve their skills, and preparing and ex-student to pass a standarized test to study in the UK.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Business questions
-
A simple trust has ordinary income of $56,000, a long-term capital gain of $20,000 (allocable to corpus), and a trustee commission expense of $5,500 (payable from corpus). The two income...
-
ttth Suppose that the sequence of bags {Bn | n N} is recursively enumerated by the computable function e(n, x) = fn(x), [7 marks] Hence prove that the set of all recursive bags cannot be recursively...
-
The following profits (losses) of an individual taxpayer that is resident in Egypt for the years 2016 and 2017 are as follows 2016 2017 Salaries and the like 2016: 21,000, 2017: 24,900 Commercial...
-
ed The Engine Guys produces specialized engines for "snow climber buses. The company's normal monthly production volume is 2,500 engines, whereas its monthly production capacity is 5,000 engines. The...
-
Sitting in a second-story apartment, a physicist notices a ball moving straight upward just outside her window. The ball is visible for 0.25 s as it moves a distance of 1.05 m from the bottom to the...
-
A toaster is rated at 600 W when connected to a 120-V source. What current does the toaster carry, and what is its resistance?
-
The plaintiffs, Lee and Yoon, were the parents of H.L., a South Korean citizen who attended high school in Idaho as part of an exchange program. With permission from both plaintiffs and his host...
-
In 2016, Lee Inc. billed its customers $62,000 for services performed. The company collected $51,000 of the amount billed. Lee incurred $39,000 of other operating expenses on account. Lee paid...
-
Solve 1 17) log81 27 18) log 32 = 16 19) log40= 20) log101=
-
Suppose that \(X\) is a continuous random variable that takes on positive real values and has characteristic function \(\psi(t)=(1-\theta i t)^{-\alpha}\). Use Theorem 2.28 to find the density of...
-
Suppose that \(X\) is a continuous random variable that takes on real values and has characteristic function \(\psi(t)=\exp (-|t|)\). Use Theorem 2.28 to find the density of \(X\). Theorem 2.28....
-
Explain using a graph how in the Keynesian model, keeping the price level fixed, an increase in private consumption influences aggregate expenditure and aggregate demand. Japans economy has witnessed...
-
How many atoms of tin are in a 36.5 g sample? Calculate the molar mass of the explosive TNT, C6HCH3 (NO2)3. Calculate the molar mass of phosphoric acid.
-
Calculate the mass of 0.128 mol of iron(II) sulfate heptahydrate.
-
An unknown sln is diluted by taking 1 . 0 0 0 mL of the original unknown and diluting it down to 2 5 . 0 0 mL . This new dilute sln is analyzed using the ratio method. 2 . 4 5 3 ppm standard of ( x )...
-
The gas phase decomposition of dinitrogen pentoxide at 335 K NO5 (g) 2 NO (g) + /2O (g) is first order in NO5 with a rate constant of 4.70 10 s. If the initial concentration of NO5 is 0.211 M, the...
-
Using the information in the table, the value of the rate constant for the reaction A(g) + 3 B(g) C(g) + 2 D(g) is [A]. (M) 1.25 1.25 3.75 [B]. (M) 0.100 0.300 0.200 Ra 0.8 2.5 5.1
-
If a slit diffracts 650.nm light so that the diffraction maximum is 4.0cm wide on a screen 1.50m away, what will be the width of the diffraction maximum for light of wavelength 420nm?
-
Parkin Industries, a U.S. company, acquired a wholly-owned subsidiary, located in Italy, at the beginning of the current year, for 200,000. The subsidiary's functional currency is the euro. The...
-
Which type of distribution is used in a two-sample z-test? A. t-distribution B. Normal distribution C. Simulated null distribution D. Double proportion distribution E. None of the above
-
Is this study an experiment or an observational study? How are you deciding? In 1970 Linus Pauling, a well-known chemist and Nobel Prize winning scientist, published Vitamin C and the Common Cold...
-
Which of AD answers correctly calculates the difference in the proportions of success for Group A compared to Group B (p?A p?B) for the two-way table below? A. (10/60) (20/60) B. (10/20) (20/40)...
-
How important do you feel it is for you and the clients you served to have the same values to an extent is it important to you that people you serve hold similar to your own?
-
What is one way to enhance the quality of Leader - Member Exchanges ( LMX ) between leaders and their employees and increase team performance?
-
Operations Management is mostly a process-focused and calculation-oriented course. We have learned operations and resource planning, which is to create, maintain, and deliver value that optimize the...
Study smarter with the SolutionInn App