+ Reply to Thread
Results 1 to 3 of 3

Thread: deriving the pmf

  1. #1
    Points: 396, Level: 7
    Level completed: 92%, Points required for next Level: 4

    Posts
    11
    Thanks
    1
    Thanked 0 Times in 0 Posts

    deriving the pmf




    I don't fully understand how to answer part b. Is it asking me to use transformation techniques of the poisson derived in part a? If so, how do i go about transforming a poisson? If not, how do I go about deriving the pmf?

    Thanks!
    Attached Images  

  2. #2
    TS Contributor
    Points: 22,410, Level: 93
    Level completed: 6%, Points required for next Level: 940

    Posts
    3,020
    Thanks
    12
    Thanked 565 Times in 537 Posts

    Re: deriving the pmf

    By the definition,

    Y = \min\{X, k\} = \begin{cases} 
X & \text{if~} X < k \\
k & \text{if~} X \geq k 
\end{cases}

    Here k should be an integer. Therefore, the pmf

    \Pr\{Y = y\} = \begin{cases} 
\Pr\{X = y\} & \text{if~} y < k \\
\Pr\{X \geq k\} & \text{if~} y = k \\
0 & \text{if~} y > k
\end{cases}

  3. The Following User Says Thank You to BGM For This Useful Post:

    k.dot (05-02-2016)

  4. #3
    Points: 396, Level: 7
    Level completed: 92%, Points required for next Level: 4

    Posts
    11
    Thanks
    1
    Thanked 0 Times in 0 Posts

    Re: deriving the pmf


    Well... That was more straight forward than I thought.
    Thanks for your help!

+ Reply to Thread

           




Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts






Advertise on Talk Stats