What is unnormalised discrete distribution?












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Can someone provide an easy to understand meaning of what unnormalized discrete distribution is and how is it different from normalized discrete distribution and when is unnormalized discrete distribution used?










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  • $begingroup$
    My guess is when $X$ is allowed to take the values $infty, -infty$ along with a countable number of real values $x_1,x_2,...$ and $p_n=P(X=x_n)%$ then $(p_n)$ is an unnormalized discrete distribution. Note that $p_n geq 0$ and $sum p_n leq 1$ but strict inequality can occur.
    $endgroup$
    – Kavi Rama Murthy
    Jan 16 at 10:04












  • $begingroup$
    What would then unnormalized mean?
    $endgroup$
    – Jibin Mathew
    Jan 16 at 10:12










  • $begingroup$
    Normalized means $sum p_n=1$ and unnormalized means $sum p_n<1$. But this is only a guess. I have not seen anyone using this terminology.
    $endgroup$
    – Kavi Rama Murthy
    Jan 16 at 10:17










  • $begingroup$
    Where did you encounter this "unnormalised discrete distribution"? Please provide the source.
    $endgroup$
    – Lee David Chung Lin
    Jan 29 at 14:20










  • $begingroup$
    It was a test task that was given to me in an interview
    $endgroup$
    – Jibin Mathew
    Feb 3 at 6:19
















0












$begingroup$


Can someone provide an easy to understand meaning of what unnormalized discrete distribution is and how is it different from normalized discrete distribution and when is unnormalized discrete distribution used?










share|cite|improve this question









$endgroup$












  • $begingroup$
    My guess is when $X$ is allowed to take the values $infty, -infty$ along with a countable number of real values $x_1,x_2,...$ and $p_n=P(X=x_n)%$ then $(p_n)$ is an unnormalized discrete distribution. Note that $p_n geq 0$ and $sum p_n leq 1$ but strict inequality can occur.
    $endgroup$
    – Kavi Rama Murthy
    Jan 16 at 10:04












  • $begingroup$
    What would then unnormalized mean?
    $endgroup$
    – Jibin Mathew
    Jan 16 at 10:12










  • $begingroup$
    Normalized means $sum p_n=1$ and unnormalized means $sum p_n<1$. But this is only a guess. I have not seen anyone using this terminology.
    $endgroup$
    – Kavi Rama Murthy
    Jan 16 at 10:17










  • $begingroup$
    Where did you encounter this "unnormalised discrete distribution"? Please provide the source.
    $endgroup$
    – Lee David Chung Lin
    Jan 29 at 14:20










  • $begingroup$
    It was a test task that was given to me in an interview
    $endgroup$
    – Jibin Mathew
    Feb 3 at 6:19














0












0








0





$begingroup$


Can someone provide an easy to understand meaning of what unnormalized discrete distribution is and how is it different from normalized discrete distribution and when is unnormalized discrete distribution used?










share|cite|improve this question









$endgroup$




Can someone provide an easy to understand meaning of what unnormalized discrete distribution is and how is it different from normalized discrete distribution and when is unnormalized discrete distribution used?







probability-distributions normal-distribution






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share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Jan 16 at 9:59









Jibin MathewJibin Mathew

1011




1011












  • $begingroup$
    My guess is when $X$ is allowed to take the values $infty, -infty$ along with a countable number of real values $x_1,x_2,...$ and $p_n=P(X=x_n)%$ then $(p_n)$ is an unnormalized discrete distribution. Note that $p_n geq 0$ and $sum p_n leq 1$ but strict inequality can occur.
    $endgroup$
    – Kavi Rama Murthy
    Jan 16 at 10:04












  • $begingroup$
    What would then unnormalized mean?
    $endgroup$
    – Jibin Mathew
    Jan 16 at 10:12










  • $begingroup$
    Normalized means $sum p_n=1$ and unnormalized means $sum p_n<1$. But this is only a guess. I have not seen anyone using this terminology.
    $endgroup$
    – Kavi Rama Murthy
    Jan 16 at 10:17










  • $begingroup$
    Where did you encounter this "unnormalised discrete distribution"? Please provide the source.
    $endgroup$
    – Lee David Chung Lin
    Jan 29 at 14:20










  • $begingroup$
    It was a test task that was given to me in an interview
    $endgroup$
    – Jibin Mathew
    Feb 3 at 6:19


















  • $begingroup$
    My guess is when $X$ is allowed to take the values $infty, -infty$ along with a countable number of real values $x_1,x_2,...$ and $p_n=P(X=x_n)%$ then $(p_n)$ is an unnormalized discrete distribution. Note that $p_n geq 0$ and $sum p_n leq 1$ but strict inequality can occur.
    $endgroup$
    – Kavi Rama Murthy
    Jan 16 at 10:04












  • $begingroup$
    What would then unnormalized mean?
    $endgroup$
    – Jibin Mathew
    Jan 16 at 10:12










  • $begingroup$
    Normalized means $sum p_n=1$ and unnormalized means $sum p_n<1$. But this is only a guess. I have not seen anyone using this terminology.
    $endgroup$
    – Kavi Rama Murthy
    Jan 16 at 10:17










  • $begingroup$
    Where did you encounter this "unnormalised discrete distribution"? Please provide the source.
    $endgroup$
    – Lee David Chung Lin
    Jan 29 at 14:20










  • $begingroup$
    It was a test task that was given to me in an interview
    $endgroup$
    – Jibin Mathew
    Feb 3 at 6:19
















$begingroup$
My guess is when $X$ is allowed to take the values $infty, -infty$ along with a countable number of real values $x_1,x_2,...$ and $p_n=P(X=x_n)%$ then $(p_n)$ is an unnormalized discrete distribution. Note that $p_n geq 0$ and $sum p_n leq 1$ but strict inequality can occur.
$endgroup$
– Kavi Rama Murthy
Jan 16 at 10:04






$begingroup$
My guess is when $X$ is allowed to take the values $infty, -infty$ along with a countable number of real values $x_1,x_2,...$ and $p_n=P(X=x_n)%$ then $(p_n)$ is an unnormalized discrete distribution. Note that $p_n geq 0$ and $sum p_n leq 1$ but strict inequality can occur.
$endgroup$
– Kavi Rama Murthy
Jan 16 at 10:04














$begingroup$
What would then unnormalized mean?
$endgroup$
– Jibin Mathew
Jan 16 at 10:12




$begingroup$
What would then unnormalized mean?
$endgroup$
– Jibin Mathew
Jan 16 at 10:12












$begingroup$
Normalized means $sum p_n=1$ and unnormalized means $sum p_n<1$. But this is only a guess. I have not seen anyone using this terminology.
$endgroup$
– Kavi Rama Murthy
Jan 16 at 10:17




$begingroup$
Normalized means $sum p_n=1$ and unnormalized means $sum p_n<1$. But this is only a guess. I have not seen anyone using this terminology.
$endgroup$
– Kavi Rama Murthy
Jan 16 at 10:17












$begingroup$
Where did you encounter this "unnormalised discrete distribution"? Please provide the source.
$endgroup$
– Lee David Chung Lin
Jan 29 at 14:20




$begingroup$
Where did you encounter this "unnormalised discrete distribution"? Please provide the source.
$endgroup$
– Lee David Chung Lin
Jan 29 at 14:20












$begingroup$
It was a test task that was given to me in an interview
$endgroup$
– Jibin Mathew
Feb 3 at 6:19




$begingroup$
It was a test task that was given to me in an interview
$endgroup$
– Jibin Mathew
Feb 3 at 6:19










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