Week 13 : Expectation & Variance 3 1 . 3 Mean Time to Failure
نویسنده
چکیده
The expectation of a random variable is its average value, where each value is weighted according to the probability that it comes up. The expectation is also called the expected value or the mean of the random variable. For example, suppose we select a student uniformly at random from the class, and let R be the student’s quiz score. Then E [R] is just the class average —the first thing everyone wants to know after getting their test back! Similarly, the first thing you usually want to know about a random variable is its expected value. Definition 1.1.
منابع مشابه
Expectation of geometric distribution
• Distribution 2: Pr(0) = Pr(50) = Pr(100) = 1/3. Both have the same expectation: 50. But the first is much less “dispersed” than the second. We want a measure of dispersion. • One measure of dispersion is how far things are from the mean, on average. Given a random variable X , (X(s) − E(X)) measures how far the value of s is from the mean value (the expectation) of X . Define the variance of ...
متن کاملModel parameter estimation for mixture density polynomial segment models
In this paper, we propose parameter estimation techniques for mixture density polynomial segment models (MDPSMs) where their trajectories are specified with an arbitrary regression order. MDPSM parameters can be trained in one of three different ways: (1) segment clustering; (2) expectation maximization (EM) training of mean trajectories; and (3) EM training of mean and variance trajectories. T...
متن کاملMath 159 Notes: Discrete Probabilistic Methods
1. Ramsey Theory and Tournament Graphs: 1/6/14 1 2. Expectation and Variance: 1/8/14 3 3. More Uses of Variance: 1/10/14 5 4. Alterations: 1/13/14 7 5. The Lovász Local Lemma I: 1/15/14 8 6. The Lovász Local Lemma II: 1/17/14 10 7. Poisson Approximation: Jensen’s Inequality: 1/22/14 11 8. Poisson Approximation to the Binomial: 1/24/14 13 9. The Chen-Stein Method: 1/27/14 14 10. The Probabilisti...
متن کاملExperimental congestive heart failure produced by rapid ventricular pacing in the dog: cardiac effects.
Chronic rapid ventricular pacing in the dog reportedly produces a useful preparation of low-output heart failure. However, little information is available regarding cardiac changes in this preparation. Accordingly, we evaluated the effects of both short-term (3 weeks) and prolonged (2 months) rapid ventricular pacing on cardiac hemodynamics, mass, and chamber size. The effects of short-term pac...
متن کاملar X iv : h ep - p h / 03 03 23 0 v 3 10 S ep 2 00 3 Color superconductor with a color - sextet condensate
We analyze color superconductivity of one massive flavor quark matter at moderate baryon density with a spin-zero color-sextet condensate. The most general Higgs-type ground-state expectation value of the order parameter implies complete breakdown of the SU(3) × U(1) symmetry. However, both the conventional fourth-order polynomial effective bosonic description, and the NJL-type fermionic descri...
متن کامل