sep12p - EXAM P QUESTIONS OF THE WEEK S Broverman 2005...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
EXAM P QUESTIONS OF THE WEEK S. Broverman, 2005 Question 8 - Week of September 12 According to the definition of the beta distribution on the interval (0,1) with integer \ parameters and , the pdf is . + " , " 0ÐBÑœ B Ð"BÑ Ð+,"Ñx Ð+"ÑxÐ,"Ñx +" ," Which of the following statements are true? I. If then . +œ, IÐ\Ñœ " # II. If then . Z+<Ð\Ñœ " )+" III. As increases, increases. 5I Ð \ Ñ 5 The solution can be found below.
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Question 8 Solution Since is a pdf, it follows that 0ÐBÑ ' ! " " B Ñ. B œ +" ," Ð+"ÑxÐ,"Ñx Ð+,"Ñx , and this is valid for any integers and . +, Then IÐ\Ñ œ B0ÐBÑ.B œ B Ð"  BÑ .B '' !! "" Ð+,"Ñx Ð+"ÑxÐ,"Ñx " œB Ð " B Ñ . B œ œ Ð+,"Ñx Ð+,"Ñx +xÐ,"Ñx Ð+"ÑxÐ,"Ñx Ð+"ÑxÐ,"Ñx Ð+,Ñx +, ! " " + ' (this follows by using instead of for the pdf). +" + Therefore, if
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 03/29/2010 for the course STATISTICS 50 taught by Professor Diaz during the Spring '10 term at California State University , Monterey Bay.

Page1 / 2

sep12p - EXAM P QUESTIONS OF THE WEEK S Broverman 2005...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online