Three events in one probability space
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Consider three random variables :
The result of rolling the dice.
The number of reverse in three coin toss.
$lfloor x^2 rfloor$, $xin [-2,2]$
Can we describe above random variables on the one, standard probability space?
probability random-variables
asked Nov 18 at 20:06
PabloZ392
1356
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show 5 more comments
up vote
1
down vote
favorite
1
Consider three random variables :
The result of rolling the dice.
The number of reverse in three coin toss.
$lfloor x^2 rfloor$, $xin [-2,2]$
Can we describe above random variables on the one, standard probability space?
probability random-variables
asked Nov 18 at 20:06
PabloZ392
1356
Not clear what you are asking for here. Are these meant to be independent variables? What's a "reverse"? Of course, you can always just write your space as a product of the three spaces (assuming you wanted independence).
– lulu
Nov 18 at 20:10
Reverse it is one of the side of the coin. Random variables do not have to be independent.
– PabloZ392
Nov 18 at 20:16
Ah, so if it's an ordinary coin we might just say "Tails", yes?
– lulu
Nov 18 at 20:17
Yes, of course.
– PabloZ392
Nov 18 at 20:19
And what about my questions on dependence? Did you understand my proposal about the product space? I'm proposing triples $(x,y,z)$ where $x$ denotes the result of a fair dice roll, $y$ the number of Tails seen in three tosses of a fair coin, and $z$, the result of drawing a random real number between $-2$ and $2$ abd computing $lfloor x^2 rfloor$. Does that make sense?
– lulu
Nov 18 at 20:21
|
show 5 more comments
up vote
1
down vote
favorite
1
up vote
1
down vote
favorite
1
1
Consider three random variables :
The result of rolling the dice.
The number of reverse in three coin toss.
$lfloor x^2 rfloor$, $xin [-2,2]$
Can we describe above random variables on the one, standard probability space?
probability random-variables
asked Nov 18 at 20:06
PabloZ392
1356
Consider three random variables :
The result of rolling the dice.
The number of reverse in three coin toss.
$lfloor x^2 rfloor$, $xin [-2,2]$
Can we describe above random variables on the one, standard probability space?
probability random-variables
probability random-variables
asked Nov 18 at 20:06
PabloZ392
1356
asked Nov 18 at 20:06
PabloZ392
1356
asked Nov 18 at 20:06
PabloZ392
1356
asked Nov 18 at 20:06
PabloZ392
1356
asked Nov 18 at 20:06
PabloZ392
1356
1356
Not clear what you are asking for here. Are these meant to be independent variables? What's a "reverse"? Of course, you can always just write your space as a product of the three spaces (assuming you wanted independence).
– lulu
Nov 18 at 20:10
Reverse it is one of the side of the coin. Random variables do not have to be independent.
– PabloZ392
Nov 18 at 20:16
Ah, so if it's an ordinary coin we might just say "Tails", yes?
– lulu
Nov 18 at 20:17
Yes, of course.
– PabloZ392
Nov 18 at 20:19
And what about my questions on dependence? Did you understand my proposal about the product space? I'm proposing triples $(x,y,z)$ where $x$ denotes the result of a fair dice roll, $y$ the number of Tails seen in three tosses of a fair coin, and $z$, the result of drawing a random real number between $-2$ and $2$ abd computing $lfloor x^2 rfloor$. Does that make sense?
– lulu
Nov 18 at 20:21
|
show 5 more comments
Not clear what you are asking for here. Are these meant to be independent variables? What's a "reverse"? Of course, you can always just write your space as a product of the three spaces (assuming you wanted independence).
– lulu
Nov 18 at 20:10
Reverse it is one of the side of the coin. Random variables do not have to be independent.
– PabloZ392
Nov 18 at 20:16
Ah, so if it's an ordinary coin we might just say "Tails", yes?
– lulu
Nov 18 at 20:17
Yes, of course.
– PabloZ392
Nov 18 at 20:19
And what about my questions on dependence? Did you understand my proposal about the product space? I'm proposing triples $(x,y,z)$ where $x$ denotes the result of a fair dice roll, $y$ the number of Tails seen in three tosses of a fair coin, and $z$, the result of drawing a random real number between $-2$ and $2$ abd computing $lfloor x^2 rfloor$. Does that make sense?
– lulu
Nov 18 at 20:21
Not clear what you are asking for here. Are these meant to be independent variables? What's a "reverse"? Of course, you can always just write your space as a product of the three spaces (assuming you wanted independence).
– lulu
Nov 18 at 20:10
Not clear what you are asking for here. Are these meant to be independent variables? What's a "reverse"? Of course, you can always just write your space as a product of the three spaces (assuming you wanted independence).
– lulu
Nov 18 at 20:10
Reverse it is one of the side of the coin. Random variables do not have to be independent.
– PabloZ392
Nov 18 at 20:16
Reverse it is one of the side of the coin. Random variables do not have to be independent.
– PabloZ392
Nov 18 at 20:16
Ah, so if it's an ordinary coin we might just say "Tails", yes?
– lulu
Nov 18 at 20:17
Ah, so if it's an ordinary coin we might just say "Tails", yes?
– lulu
Nov 18 at 20:17
Yes, of course.
– PabloZ392
Nov 18 at 20:19
Yes, of course.
– PabloZ392
Nov 18 at 20:19
And what about my questions on dependence? Did you understand my proposal about the product space? I'm proposing triples $(x,y,z)$ where $x$ denotes the result of a fair dice roll, $y$ the number of Tails seen in three tosses of a fair coin, and $z$, the result of drawing a random real number between $-2$ and $2$ abd computing $lfloor x^2 rfloor$. Does that make sense?
– lulu
Nov 18 at 20:21
And what about my questions on dependence? Did you understand my proposal about the product space? I'm proposing triples $(x,y,z)$ where $x$ denotes the result of a fair dice roll, $y$ the number of Tails seen in three tosses of a fair coin, and $z$, the result of drawing a random real number between $-2$ and $2$ abd computing $lfloor x^2 rfloor$. Does that make sense?
– lulu
Nov 18 at 20:21
|
show 5 more comments
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Not clear what you are asking for here. Are these meant to be independent variables? What's a "reverse"? Of course, you can always just write your space as a product of the three spaces (assuming you wanted independence).
– lulu
Nov 18 at 20:10
Reverse it is one of the side of the coin. Random variables do not have to be independent.
– PabloZ392
Nov 18 at 20:16
Ah, so if it's an ordinary coin we might just say "Tails", yes?
– lulu
Nov 18 at 20:17
Yes, of course.
– PabloZ392
Nov 18 at 20:19
And what about my questions on dependence? Did you understand my proposal about the product space? I'm proposing triples $(x,y,z)$ where $x$ denotes the result of a fair dice roll, $y$ the number of Tails seen in three tosses of a fair coin, and $z$, the result of drawing a random real number between $-2$ and $2$ abd computing $lfloor x^2 rfloor$. Does that make sense?
– lulu
Nov 18 at 20:21