Recent content by loveinla

Here a, b, c > 0, and a > bc. Can anyone find the solution of k as a function of (a, b, c)? Thanks.

Thanks, it helps!

Hi--I have two vectors ##x=(x_1, x_2, ..., x_n)## and ##y=(y_1, y_2, ..., y_n)##. Now I want them to be multiplied in the following way: for each ##i=1,2,..,n##, I need ##x_i*y_{i-1}-y_n##. Can anyone help me on how to code this in Matlab? BTW, I also want to input the length of the two...

Thanks.

Hi, I have a quick question. If both X and Y are uniformly distributed on the unit interval [0, 1]. Can we prove that the joint distribution of (X, Y) is uniform on the unit square [0, 1]×[0, 1]? Do we need any condition to ensure the result, such as Independence between X and Y? Thanks.

Thanks, you are right, the expectation is with respect to \theta, which is on [0,1]. The initial value is indeed what I am trying to find. In fact, it is a one-armed bandit problem with Bernoulli probability \theta, but \theta is a random variable we are trying to figure out through the...

Hi, I'd like to solve a function W_{t}^{x} from a recursive formula below. W_{t}^{x}=P_{t}^{x}*W_{t+1}^{x+1}+(1 - P_{t}^{x})*W_{t+1}^{x}, where P_{t}^{x} = \frac{E[\theta^{x+1}*(1 - \theta)^{t-x}]}{E[\theta^{x}*(1-\theta)^{t-x}]}, {\underset{t\to\infty, x\to 0}{lim}}W_{t}^{x} =0. Here E...

Thanks a lot for your reply. Yes, you are right. My initial statement is contradictory and not well-defined. Now I have cleared my mind with your comments. Thanks again.

Hi, I am wondering how to express the domain of a two-variable function f(x,y) as below. For any given y, f(x,y) is defined on [0, g(y)); for any given x, f(x,y) is defined on [0, h(x)). Then how should I specify the domain for the function f(x,y)? To be more specific, f(x,y)=x+y, and...