Poisson Distribution

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Amit Goyal

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May 27, 2012, 6:49:31 AM5/27/12
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Of course you know what to do :-)
Poisson Distribution.png

Vibhuti Dhingra

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May 27, 2012, 7:24:53 AM5/27/12
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On Sun, May 27, 2012 at 4:19 PM, Amit Goyal <amit.k...@gmail.com> wrote:
Of course you know what to do :-)
 
1) Mgf = e^lambda(e^t-1)
2) Mean = Variance = lambda :)

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Thanks & Regards,
Vibhuti Dhingra


Srishti Gupta

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May 27, 2012, 8:35:12 AM5/27/12
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yes same as vibhuti:
.mgf
E[e^xt] = [summation e^tx* lamda^x *e^[-lamda] ] / x!
           = [e^[-lamda] summation ( (e^t) lamda)^x/x!]
           = which onsolving gives
             
 e^lambda(e^t-1)

Srishti Gupta

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May 27, 2012, 8:35:28 AM5/27/12
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            =   e^lambda(e^t-1)

similary mean n variance are same am getting!! :)

akg

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May 27, 2012, 8:29:38 PM5/27/12
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MGF is e^(lambda(e^t - 1))
Mean = Variance = lambda

On May 27, 5:35 pm, Srishti Gupta <sweetpriya.sris...@gmail.com>
wrote:

Tuhin Chatterjeee

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May 30, 2012, 7:24:42 AM5/30/12
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same:)
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