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Get the range of the required distribution, in this case, max(X, Y) Find the CDF of this distribution as a function of the known distributions Find the PDF of the distribution by differentiating the CDF
$\begingroup$ I prefer $\max\{f(x_1,\ldots,f(x_n)\}$ with curly braces and no parentheses. In this instance, the parentheses don't actually help, and the curly braces remind you that the thing whose maximum is sought is a set rather than a tuple. $\endgroup$
21 de ago. de 2011 · M (x) is a function. Taking the maximal number amongst the parameters. max {x1, x2} = {x1, if x1> x2 x2, otherwise. You can define like that the maximum of any finitely many elements. When the parameters are an infinite set of values, then it is implied that one of them is maximal (namely that there is a greatest one, unlike the set {− 1 n ...
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19 de set. de 2017 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
it is intuitive that we can "pull out" the λ λ as the max function gets value of the image of a given function and does not "work" with scalars. But how can we say it in a formal way? If c ≥ 0 c ≥ 0 then supx ch(x) = csupx h(x) sup x c h (x) = c sup x h (x). This is obvious if c = 0 c = 0, so suppose c> 0 c> 0.
But let's take x = 2, then (1 - 2) ^ 2 will be (-1) ^2 which is nothing but 1 and according to op's max function, 1 should be returned. But since you gave the condition of x >= 1, we always return 0 even when x is something like 2. I think in comments what Andre Holzner said is correct.
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1 Answer. Sorted by: 1. You are on the right track. For the induced norm ∥A∥∞ = max∥Ax∥∞ ∥x∥∞ we can also write the induced norm ∥A∥∞ =maxx≠0(∥Ax∥∞) where ∥x∥∞ = 1. We know that the definition of the infinity norm on matrices is choosing the largest element. So follow these steps where ∥x∥∞ = 1:
