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The Lognormal Distribution
If ln(X) is a normally distributed random variable, then X is said to be a lognormal variable.
If P1, P2, P3, ... are the prices of a scrip in periods 1, 2, 3, ..., some applications in finance require ln (P2/P1), ln (P3/P2),... to be normally distributed, that is, continuously compounded returns are required to be normal. This property is described as “Stock Prices are Lognormal”.
REMARK
The previous random variables arose out of natural experiments. The following distributions are derived distributions. That is, it is a function of other distributions. We require the following two distributions in Testing of Hypothesis. and our presentation will be restricted by our requirements.
cot functions
what is your prices
A box contains 12 balls out of which x are black. If one ball is drawn at random from the box, what is the probability that it will be a black ball? If 6 more black balls are put i
A bank pays on its savings an interest rate of 6% per year but compounds interest monthly (i.e., estimates the interest each month and adds it to the balance). You plan to deposit
3456+3694
(1) Prove that Zorn's lemma is equivalent to axiom of choice. (2) Use Zorn's Lemma to prove the existence of E.
Assume that i) Determine all the roots of f(x) = 0. ii) Determine the value of k that makes h continuous at x = 3. iii) Using the value of k found in (ii), sh
Everything stored on a computer can be represented as a string of bits. However, different types of data (for example, characters and numbers) may be represented by the same strin
Approximating solutions to equations : In this section we will look at a method for approximating solutions to equations. We all know that equations have to be solved on occasion
4+15-(4-1/2)
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