O'Reilly logo

Student Solutions Manual to Accompany Loss Models: From Data to Decisions, Fourth Edition by Gordon E. Willmot, Harry H. Panjer, Stuart A. Klugman

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

CHAPTER 2

CHAPTER 2 SOLUTIONS

2.1   SECTION 2.2

2.1   image

2.2 The requested plots follow. The triangular spike at zero in the density function for Model 4 indicates the 0.7 of discrete probability at zero.

image

image

image

image

image

image

image

image

2.3 f′(x) = 4(1 + x2)−3 − 24x2(1 + x2)−4. Setting the derivative equal to zero and multiplying by (1 + x2)4 give the equation 4(1 + x2) − 24x2 = 0. This is equivalent to x2 = 1/5. The only positive solution is the mode of image.

2.4 The survival function can be recovered as

Taking logarithms ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required