Let (f:[0, infty) ightarrow mathbb{R}) be absolutely continuous. Show that (int f^{a-1} d f=f^{a} / a) for

Question:

Let $f:[0, \infty) ightarrow \mathbb{R}$ be absolutely continuous. Show that $\int f^{a-1} d f=f^{a} / a$ for all $a>0$.

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

Step by Step Answer:

Related Book For book-img-for-question

Brownian Motion A Guide To Random Processes And Stochastic Calculus De Gruyter Textbook

ISBN: 9783110741254

3rd Edition

Authors: René L. Schilling, Björn Böttcher

See More Books

Question Posted: Mar 17, 2024 01:00 AM

See More Questions

(a) Use the following text to derive distributions for rat and chased. Use a five-word window, including open- and closed- class words, ignore case, punctuation and sentence boundaries and weight...
QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least pre-fixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...
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...
Blocks A and B shown in the figure are free and all surfaces are non-friction. Find the velocity of the blocks at t = 3 s, since the tensile force shown in the graphic is applied to the block A...
Fill in the blank: Roughly, when arranged in increasing order, the uppermost 25% of a data set are greater than or equal to ________.
Describe to someone else what your core values are and where they came from.
Bubble behavior in subcooled flow boiling. Refer to the Heat Transfer Engineering (Vol. 34, 2013) study of bubble behavior in subcooled flow boiling, Exercise 12.46 (p. 744). Using data saved in the...
The so-called local carrier is also almost unique to the motor-carrier industry. Why?
The City of Brown Creek constructed a new storage facility using the city's own public works employees. Construction costs were incurred in the amount of $900,000, plus $25,000 in interest on...
Use the strong Markov property to show the stationary and independent increments property in Lemma 19.32.c) directly, i.e. for all \(0=u_{0} Data From Lemma 19.32 19.32 Lemma. Let (Bt)to be a BM, Lo...
Show the following addition to Lemma 19.16:\[\tau(t-)=\inf \{s \geqslant 0: a(s) \geqslant t\} \quad \text { and } \quad a(t-)=\inf \{s \geqslant 0: \tau(s) \geqslant t\}\] and \(\tau(s) \geqslant t...
Determine if the following are perfect squares: 1. 94 2. 441
The following accounts appear in the ledger of Sheridan Ltd. after the books are closed at December 31 ( in thousands). Share Capital-Ordinary, no par, 1 stated value, 400,000 shares authorized;...
1. Let f(x) 223-9x2. (a) Find all critical points for f(x).
Sadie's ski shop sells ski and boots. Skis are sold for $300 per pair and have associated Variable Costs of $150 per pair. Boots are sold for $200 per pair with an associated Variable Expense of $65...
How do you apply what is learned in the Science of Branding 1 5 - 1 , Key Insights Regarding Global Brand Strategies Based on Research Findings to improve on the brand?
CASH MANAGEMENT Dr. Umburgh noticed that the $100.00 check made to Trenton Medical Supplies has not cleared for four months. What type of check is the outstanding check referred to as? a. Stale-dated...
As a manager, what lessons can you learn from this video about preparing a contingency plan to manage communication following a crisis?
Write the general quadratic equation y2 - 8y - 4x + 28 = 0 in standard form. Determine the vertex, focus, and directrix of the parabola defined by this equation. Sketch a graph.
A stochastic matrix is said to be doubly stochastic if for all columns, the sum of the probabilities is also equal to one. Show that if a chain with such a matrix is finite and ergodic, in the long...
Assume that in the situation of Example 4.2-5, in the stationary regime, a daily number of accidents occurred to be greater than six. Find the probability that the weather on this day corresponds to...
Consider the situation of the example on weather-condition in Section 2.3 in the stationary regime. Given that the today weather conditions are either rainy or icy-road ones, find the mean waiting...
The market price of a stock is $24.55 and it is expected to pay a dividend of $1.44 next year. The required rate of return is 11.23%. What is the expected growth rate of the dividend? Submit Answer...
Suppose Universal Forests current stock price is $59.00 and it is likely to pay a $0.57 dividend next year. Since analysts estimate Universal Forest will have a 13.8 percent growth rate, what is its...
ABC Company engaged in the following transaction in October 2 0 1 7 Oct 7 Sold Merchandise on credit to L Barrett $ 6 0 0 0 8 Purchased merchandise on credit from Bennett Company $ 1 2 , 0 0 0 . 9...

Let (f:[0, infty) ightarrow mathbb{R}) be absolutely continuous. Show that (int f^{a-1} d f=f^{a} / a) for

Question:

Step by Step Answer:

Brownian Motion A Guide To Random Processes And Stochastic Calculus De Gruyter Textbook

Students also viewed these Business questions