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L21.3 Stochastic Processes

We have said that the Bernoulli process is the simplest stochastic processes there is. But what is a stochastic process anyway? A stochastic process can be thought of as a sequence of random variables. Now, how is this different from what we have doing before, where we have dealt with multiple random variables? Well, one difference is that here we're talking about an infinite sequence of random variables. And that complicates things to a certain extent. Now, what does it take to describe a stochastic process? We should specify the properties of each one of those random variables. For example, we might be interested in the mean, variance, or PMF of those random variables. For the case of the Bernoulli process, this would be easy to do. We know what the expected value is. We have a formula for the variance. And we have a fairly simple PMF. There's probability p that X is equal to 1 and probability 1 minus p that X equals to 0. But this is not enough. We also need to...

2. Overview of Clinical Care

PETER SZOLOVITS: As David said, I've been at this for a long time. I am not a medical doctor. But I've probably learned enough medicine to be able to play one on television over the years. And actually, that's relevant to today's lecture because today's lecture is really trying to set the scene for you to say, well, what are the kinds of problems that doctors are interested in by looking at what is it that they do. OK. So that's our goal for today. So what we're going to do today is to talk about, in a very general way, what are the goals of health care. So how many of you are doctors? A couple. Great. OK. So fix me when I blow it. All right. Please feel free to interrupt. So that's going to be my first task. And then the second one is going to be what are the things that people actually do in order to try to achieve these goals. What is the practice of medicine like? What is the process that generates the data that we're going to be us...