How many draws should one make?
Say you have a jar full of $N$ balls numbered from $1,2, cdots, N.$ And you are allowed to draw as many balls as you like with replacement. Note that $N$ is unknown. How many draws should you make in order know the value of $N?$
I am not sure how to approach this problem. I want to apply probabilistic reasoning, but $N$ is unknown and I can't set up the probability space. Any hints will be much appreciated.
probability statistics
asked Nov 19 '18 at 23:36
Hello_World
3,89321630
add a comment |
Say you have a jar full of $N$ balls numbered from $1,2, cdots, N.$ And you are allowed to draw as many balls as you like with replacement. Note that $N$ is unknown. How many draws should you make in order know the value of $N?$
I am not sure how to approach this problem. I want to apply probabilistic reasoning, but $N$ is unknown and I can't set up the probability space. Any hints will be much appreciated.
probability statistics
asked Nov 19 '18 at 23:36
Hello_World
3,89321630
By the way, the authors are Borwein and Lewis, in case anyone else like me was curious to know which book this is.
– littleO
Nov 19 '18 at 23:40
Do you have any suggestions for proving this fact?
– Hello_World
Nov 19 '18 at 23:41
Just a wild guess: I would think that you need a separation theorem for proving the second inclusion.
– gerw
Nov 22 '18 at 7:54
add a comment |
Say you have a jar full of $N$ balls numbered from $1,2, cdots, N.$ And you are allowed to draw as many balls as you like with replacement. Note that $N$ is unknown. How many draws should you make in order know the value of $N?$
I am not sure how to approach this problem. I want to apply probabilistic reasoning, but $N$ is unknown and I can't set up the probability space. Any hints will be much appreciated.
probability statistics
asked Nov 19 '18 at 23:36
Hello_World
3,89321630
Say you have a jar full of $N$ balls numbered from $1,2, cdots, N.$ And you are allowed to draw as many balls as you like with replacement. Note that $N$ is unknown. How many draws should you make in order know the value of $N?$
I am not sure how to approach this problem. I want to apply probabilistic reasoning, but $N$ is unknown and I can't set up the probability space. Any hints will be much appreciated.
probability statistics
probability statistics
asked Nov 19 '18 at 23:36
Hello_World
3,89321630
asked Nov 19 '18 at 23:36
Hello_World
3,89321630
edited Nov 25 '18 at 23:04
asked Nov 19 '18 at 23:36
Hello_World
3,89321630
asked Nov 19 '18 at 23:36
Hello_World
3,89321630
asked Nov 19 '18 at 23:36
Hello_World
3,89321630
3,89321630
By the way, the authors are Borwein and Lewis, in case anyone else like me was curious to know which book this is.
– littleO
Nov 19 '18 at 23:40
Do you have any suggestions for proving this fact?
– Hello_World
Nov 19 '18 at 23:41
Just a wild guess: I would think that you need a separation theorem for proving the second inclusion.
– gerw
Nov 22 '18 at 7:54
add a comment |
By the way, the authors are Borwein and Lewis, in case anyone else like me was curious to know which book this is.
– littleO
Nov 19 '18 at 23:40
Do you have any suggestions for proving this fact?
– Hello_World
Nov 19 '18 at 23:41
Just a wild guess: I would think that you need a separation theorem for proving the second inclusion.
– gerw
Nov 22 '18 at 7:54
By the way, the authors are Borwein and Lewis, in case anyone else like me was curious to know which book this is.
– littleO
Nov 19 '18 at 23:40
By the way, the authors are Borwein and Lewis, in case anyone else like me was curious to know which book this is.
– littleO
Nov 19 '18 at 23:40
Do you have any suggestions for proving this fact?
– Hello_World
Nov 19 '18 at 23:41
Do you have any suggestions for proving this fact?
– Hello_World
Nov 19 '18 at 23:41
Just a wild guess: I would think that you need a separation theorem for proving the second inclusion.
– gerw
Nov 22 '18 at 7:54
Just a wild guess: I would think that you need a separation theorem for proving the second inclusion.
– gerw
Nov 22 '18 at 7:54
add a comment |
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By the way, the authors are Borwein and Lewis, in case anyone else like me was curious to know which book this is.
– littleO
Nov 19 '18 at 23:40
Do you have any suggestions for proving this fact?
– Hello_World
Nov 19 '18 at 23:41
Just a wild guess: I would think that you need a separation theorem for proving the second inclusion.
– gerw
Nov 22 '18 at 7:54