User contributions
Jump to navigation
Jump to search
(newest | oldest) View (newer 50 | older 50) (20 | 50 | 100 | 250 | 500)
- 11:20, 25 April 2014 (diff | hist) (0) Exam Sign-Up (2014) (→Tuesday, May 6) (current)
- 11:45, 27 March 2014 (diff | hist) (+1,205) N Andrea: Segment 27 (Created page with "===Problems=== ====To Calculate==== The file Media:Mixturevals.txt contains 1000 values, each drawn either with probability <math>c</math> from the distribution <math>\tex...") (current)
- 11:44, 27 March 2014 (diff | hist) (+24) Andrea Hall (current)
- 11:44, 27 March 2014 (diff | hist) (+2,226) N Andrea: Segment 24 (Created page with "===Problems=== ====To Calculate==== 1. Let <math>X</math> be an R.V. that is a linear combination (with known, fixed coefficients <math>\alpha_k</math>) of twenty <math>N(0,1)...") (current)
- 11:43, 27 March 2014 (diff | hist) (+1,516) N Andrea: Segment 23 (Created page with "===Problems=== ====To Compute==== 1. Generate 100 i.i.d. random draws from the beta distribution <math>\text{Beta}(2.5,5.)</math>, for example using MATLAB's betarnd or Python...") (current)
- 11:43, 27 March 2014 (diff | hist) (+897) N Andrea: Segment 22 (Created page with "===Problems=== ====To Compute==== 1. In lecture slide 3, suppose (for some perverse reason) we were interested in a quantity <math>f = b_3/b_5</math> instead of <math>f = b_3b...") (current)
- 11:42, 27 March 2014 (diff | hist) (+1,043) N Andrea: Segment 21 (Created page with "===Problems=== ====To Calculate==== 1. Consider a 2-dimensional multivariate normal distribution of the random variable <math>(b_1,b_2)</math> with 2-vector mean <math>(\mu_1...") (current)
- 11:42, 27 March 2014 (diff | hist) (+1,334) N Andrea: Segment 20 (Created page with "===Problems=== ====To Calculate==== 1. (See lecture slide 3.) For one-dimensional <math>x</math>, the model <math>y(x | \mathbf b)</math> is called "linear" if <math>y(x | \m...") (current)
- 11:41, 27 March 2014 (diff | hist) (+785) N Andrea: Segment 19 (Created page with "===Problems=== ====To Calculate==== 1. Prove the assertion on lecture slide 5, namely that, for a multivariate normal distribution, the quantity <math>({\mathbf x-\mathbf\mu}...") (current)
- 11:40, 27 March 2014 (diff | hist) (+869) N Andrea: Segment 18 (Created page with "====To Calculate==== 1. Random points i are chosen uniformly on a circle of radius 1, and their <math>(x_i,y_i)</math> coordinates in the plane are recorded. What is the 2x2 ...") (current)
- 11:39, 27 March 2014 (diff | hist) (+168) Andrea Hall
- 12:09, 26 February 2014 (diff | hist) (+16) Segment 15. The Towne Family - Again (→Class Activity)
- 11:37, 26 February 2014 (diff | hist) (0) Andrea: Segment 17 (current)
- 11:36, 26 February 2014 (diff | hist) (+593) Andrea: Segment 17 (→To Calculate)
- 15:46, 25 February 2014 (diff | hist) (+1) Andrea: Segment 17
- 15:44, 25 February 2014 (diff | hist) (+603) N Andrea: Segment 17 (Created page with "===To Calculate=== 1. Calculate the Jacobian determinant of the transformation of variables defined by <math>y_1 = x_1/x_2, \qquad y_2 = x_2^2</math> 2. Consider the 3-dim...")
- 15:43, 25 February 2014 (diff | hist) (+24) Andrea Hall
- 13:18, 24 February 2014 (diff | hist) (+686) N Andrea: Segment 15 (Created page with "===To Calculate=== ====1. In slide 4, we used "posterior predictive p-value" to get the respective p-values 1.0e-13, .01, .12, and .0013. What if we had mistakenly just used ...") (current)
- 13:15, 24 February 2014 (diff | hist) (+24) Andrea Hall
- 11:20, 19 February 2014 (diff | hist) (+1,084) N Andrea: Segment 14 (Created page with "===To Calculate=== ====1. Suppose the stopping rule is "flip exactly 10 times" and the data is that 8 out of 10 flips are heads. With what p-value can you rule out the hypoth...") (current)
- 10:52, 19 February 2014 (diff | hist) (+370) N Andrea: Segment 13 (Created page with "====To Calculate==== 1. With p=0.3, and various values of n, how big is the largest discrepancy between the Binomial probability pdf and the approximating Normal pdf? At what...") (current)
- 10:51, 19 February 2014 (diff | hist) (+48) Andrea Hall
- 13:07, 14 February 2014 (diff | hist) (+334) Andrea: Segment 12 (→To Calculate) (current)
- 12:57, 14 February 2014 (diff | hist) (+104) Andrea: Segment 12 (→To Calculate)
- 12:49, 14 February 2014 (diff | hist) (+1,137) N Andrea: Segment 12 (Created page with "====To Calculate==== 1. What is the critical region for a 5% two-sided test if, under the null hypothesis, the test statistic is distributed as <math>\text{Student}(0,\sigma,...")
- 12:49, 14 February 2014 (diff | hist) (+24) Andrea Hall
- 13:58, 12 February 2014 (diff | hist) (+68) Andrea: Segment 11 (→To Calculate) (current)
- 13:56, 12 February 2014 (diff | hist) (0) N File:Andrea Cauchy.jpeg (current)
- 13:51, 12 February 2014 (diff | hist) (+1,532) N Andrea: Segment 11 (Created page with "===Problems=== ====To Calculate==== 1. For the Cauchy distribution (Segment 8, Slide 3), find the inverse function of the CDF. <p> <math> f(x| \mu,\sigma) = \frac{1}{\pi\sigma...")
- 13:10, 12 February 2014 (diff | hist) (+1,452) N Andrea: Segment 10 (Created page with "===Problems=== ====To Calculate==== 1. Take 12 random values, each uniform between 0 and 1. Add them up and subtract 6. Prove that the result is close to a random value draw...") (current)
- 13:09, 12 February 2014 (diff | hist) (+48) Andrea Hall
- 22:27, 9 February 2014 (diff | hist) (+384) Andrea: Segment 9 (current)
- 22:21, 9 February 2014 (diff | hist) (+466) Andrea: Segment 9 (→2. Calculate (don't just look up) the characteristic function of the Exponential distribution.)
- 21:54, 9 February 2014 (diff | hist) (+107) Andrea: Segment 9 (→1. Use characteristic functions to show that the sum of two independent Gaussian random variables is itself a Gaussian random variable. What is its mean and variance?)
- 21:45, 9 February 2014 (diff | hist) (+363) Andrea: Segment 9 (→To Calculate)
- 21:27, 9 February 2014 (diff | hist) (+68) Andrea: Segment 9 (→1. Use characteristic functions to show that the sum of two independent Gaussian random variables is itself a Gaussian random variable. What is its mean and variance?)
- 21:25, 9 February 2014 (diff | hist) (+298) N Andrea: Segment 9 (Created page with "===To Calculate=== ====1. Use characteristic functions to show that the sum of two independent Gaussian random variables is itself a Gaussian random variable. What is its mea...")
- 21:22, 9 February 2014 (diff | hist) (+23) Andrea Hall
- 13:47, 5 February 2014 (diff | hist) (+330) Andrea: Segment 8 (→1. In Segment 6 (slide 8) we used the improper prior 1/r. Show that this is just a limiting case of a (completely proper) Lognormal prior.) (current)
- 13:39, 5 February 2014 (diff | hist) (+1,069) N Andrea: Segment 8 (Created page with "===To Calculate=== =====1. In Segment 6 (slide 8) we used the improper prior <math>1/r</math>. Show that this is just a limiting case of a (completely proper) Lognormal prior...")
- 13:23, 5 February 2014 (diff | hist) (+23) Andrea Hall
- 13:17, 3 February 2014 (diff | hist) (+23) Andrea Hall
- 17:25, 30 January 2014 (diff | hist) (+187) Andrea: Segment 6 (→1. Write down an explicit expression for what the slides denote as bin(n,N,r).) (current)
- 17:11, 30 January 2014 (diff | hist) (+332) N Andrea: Segment 6 (Created page with "==To Compute== ====1. Write down an explicit expression for what the slides denote as bin(n,N,r).==== ====2. There is a small error on slide 7 that carries through to the fir...")
- 15:14, 30 January 2014 (diff | hist) (+23) Andrea Hall
- 17:58, 29 January 2014 (diff | hist) (0) Andrea: Segment 5 (current)
- 17:57, 29 January 2014 (diff | hist) (-3) Andrea: Segment 5 (→Question 2)
- 17:55, 29 January 2014 (diff | hist) (+299) Andrea: Segment 5 (→Question 2)
- 14:11, 29 January 2014 (diff | hist) (+17) Andrea: Segment 5
- 13:45, 29 January 2014 (diff | hist) (+220) Andrea: Segment 5 (→Question 2)
(newest | oldest) View (newer 50 | older 50) (20 | 50 | 100 | 250 | 500)
