Poisson Distribution 1/3

What is it?

This distribution describes the probability that events occur in a fixed interval of time or space if they happen with a known constant mean rate and independently.

Examples:

Website visitors per month.
The number of meteors that will fall per hour.
The number of people die because of specific diseases.

Lambda in Poisson distribution:

Lambda is the key parameter of the distribution that represents its expected value. It can be defined as a mean number of events within a specified time or space.

Example with lambda:

Lambda represents the expected value; if our expected value of customers visiting the app per day is 10000, then the lambda, in this case, equals 10000.


              123456789
            
import scipy.stats as stats
import matplotlib.pyplot as plt
import seaborn as sns

# Simulating Poisson distribution
data = stats.poisson.rvs(1000, size = 1000)
sns.histplot(data = data)

plt.show()

.rvs() - function that is used to create a random distribution. The first argument is lambda and the second is the size of the sample. - .poisson - referring to the poisson object to work with Poisson distribution.

Wechseln Sie zum Desktop, um in der realen Welt zu übenFahren Sie dort fort, wo Sie sind, indem Sie eine der folgenden Optionen verwenden

War alles klar?

Danke für Ihr Feedback!

Abschnitt 5. Kapitel 1

Poisson Distribution 1/3

What is it?

This distribution describes the probability that events occur in a fixed interval of time or space if they happen with a known constant mean rate and independently.

Examples:

Website visitors per month.
The number of meteors that will fall per hour.
The number of people die because of specific diseases.

Lambda in Poisson distribution:

Lambda is the key parameter of the distribution that represents its expected value. It can be defined as a mean number of events within a specified time or space.

Example with lambda:

Lambda represents the expected value; if our expected value of customers visiting the app per day is 10000, then the lambda, in this case, equals 10000.


              123456789
            
import scipy.stats as stats
import matplotlib.pyplot as plt
import seaborn as sns

# Simulating Poisson distribution
data = stats.poisson.rvs(1000, size = 1000)
sns.histplot(data = data)

plt.show()

.rvs() - function that is used to create a random distribution. The first argument is lambda and the second is the size of the sample. - .poisson - referring to the poisson object to work with Poisson distribution.

Wechseln Sie zum Desktop, um in der realen Welt zu übenFahren Sie dort fort, wo Sie sind, indem Sie eine der folgenden Optionen verwenden

War alles klar?

Danke für Ihr Feedback!

Abschnitt 5. Kapitel 1

Wechseln Sie zum Desktop, um in der realen Welt zu übenFahren Sie dort fort, wo Sie sind, indem Sie eine der folgenden Optionen verwenden