event sequence generation based on probability distribution
$begingroup$
Assume that there are five independent events, and the probability of each event is known, shown as follows,
$P(x_i) = p_i, i=0,1,2,3,4$
There is one event in each time slot, while $T$ is the maximum of time slots. I want to randomly generate a sequence of events in $T$ time slots. I wonder if there are methods to generate numbers based on the probability distribution of events. Moreover, I know Roulette Whell algorithm is used for fitness selection, which can be used to generate a sequence of numbers. I am not sure if Roulette Whell is a common method in generating numbers.
probability-distributions random
asked Jan 2 at 6:51
user3919259user3919259
52
$endgroup$
add a comment |
$begingroup$
Assume that there are five independent events, and the probability of each event is known, shown as follows,
$P(x_i) = p_i, i=0,1,2,3,4$
There is one event in each time slot, while $T$ is the maximum of time slots. I want to randomly generate a sequence of events in $T$ time slots. I wonder if there are methods to generate numbers based on the probability distribution of events. Moreover, I know Roulette Whell algorithm is used for fitness selection, which can be used to generate a sequence of numbers. I am not sure if Roulette Whell is a common method in generating numbers.
probability-distributions random
asked Jan 2 at 6:51
user3919259user3919259
52
$endgroup$
1
$begingroup$
stats.stackexchange.com/questions/26858/…
$endgroup$
– d.k.o.
Jan 2 at 7:17
$begingroup$
If the events are independent, how do you guarantee that there is only event in each time slot?
$endgroup$
– Aditya Dua
Jan 4 at 0:37
add a comment |
$begingroup$
Assume that there are five independent events, and the probability of each event is known, shown as follows,
$P(x_i) = p_i, i=0,1,2,3,4$
There is one event in each time slot, while $T$ is the maximum of time slots. I want to randomly generate a sequence of events in $T$ time slots. I wonder if there are methods to generate numbers based on the probability distribution of events. Moreover, I know Roulette Whell algorithm is used for fitness selection, which can be used to generate a sequence of numbers. I am not sure if Roulette Whell is a common method in generating numbers.
probability-distributions random
asked Jan 2 at 6:51
user3919259user3919259
52
$endgroup$
Assume that there are five independent events, and the probability of each event is known, shown as follows,
$P(x_i) = p_i, i=0,1,2,3,4$
There is one event in each time slot, while $T$ is the maximum of time slots. I want to randomly generate a sequence of events in $T$ time slots. I wonder if there are methods to generate numbers based on the probability distribution of events. Moreover, I know Roulette Whell algorithm is used for fitness selection, which can be used to generate a sequence of numbers. I am not sure if Roulette Whell is a common method in generating numbers.
probability-distributions random
probability-distributions random
asked Jan 2 at 6:51
user3919259user3919259
52
asked Jan 2 at 6:51
user3919259user3919259
52
asked Jan 2 at 6:51
user3919259user3919259
52
asked Jan 2 at 6:51
user3919259user3919259
52
asked Jan 2 at 6:51
user3919259user3919259
52
52
1
$begingroup$
stats.stackexchange.com/questions/26858/…
$endgroup$
– d.k.o.
Jan 2 at 7:17
$begingroup$
If the events are independent, how do you guarantee that there is only event in each time slot?
$endgroup$
– Aditya Dua
Jan 4 at 0:37
add a comment |
1
$begingroup$
stats.stackexchange.com/questions/26858/…
$endgroup$
– d.k.o.
Jan 2 at 7:17
$begingroup$
If the events are independent, how do you guarantee that there is only event in each time slot?
$endgroup$
– Aditya Dua
Jan 4 at 0:37
1
1
$begingroup$
stats.stackexchange.com/questions/26858/…
$endgroup$
– d.k.o.
Jan 2 at 7:17
$begingroup$
stats.stackexchange.com/questions/26858/…
$endgroup$
– d.k.o.
Jan 2 at 7:17
$begingroup$
If the events are independent, how do you guarantee that there is only event in each time slot?
$endgroup$
– Aditya Dua
Jan 4 at 0:37
$begingroup$
If the events are independent, how do you guarantee that there is only event in each time slot?
$endgroup$
– Aditya Dua
Jan 4 at 0:37
add a comment |
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1
$begingroup$
stats.stackexchange.com/questions/26858/…
$endgroup$
– d.k.o.
Jan 2 at 7:17
$begingroup$
If the events are independent, how do you guarantee that there is only event in each time slot?
$endgroup$
– Aditya Dua
Jan 4 at 0:37