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Moment generating function of a negative binomial distribution?
Wiki User
∙ 10y ago
[(1 - p)/(1 - pet)]r for t < -ln(p)
where
p = probability of success in each trial,
r = number of failures before success.
Wiki User
∙ 10y ago
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What are mean and variance of negative binomial distribution by conclusion?
what is meant by a negative binomial distribution what is meant by a negative binomial distribution
How you can use negative binomial distribution in everyday life?
The negative binomial can be applied in any situation in which there is a series of independent trials, each of which can result in either of just two outcomes. The distribution applies to the number of trials that occur before the designated outcome occurs. For example, if you start flipping a fair coin repeatedly the negative binomial distribution gives the number of times you must flip the coin until you see 'heads'. There are also 'everyday' applications in inventory control and the insurance industry. Please see the link.
Which line has no endpoint and goes on forever?
A line representing any polynomial function, power function (including negative powers), trigonometric functions, most continuous probability distribution functions.
Define binomial theorem?
The binomial theorem describes the algebraic expansion of powers of a binomial: that is, the expansion of an expression of the form (x + y)^n where x and y are variables and n is the power to which the binomial is raised. When first encountered, n is a positive integer, but the binomial theorem can be extended to cover values of n which are fractional or negative (or both).
Can the expected value of a discrete probability distribution be negative?
Yes it can be negative.
What are mean and variance of negative binomial distribution by conclusion?
what is meant by a negative binomial distribution what is meant by a negative binomial distribution
How you can use negative binomial distribution in everyday life?
The negative binomial can be applied in any situation in which there is a series of independent trials, each of which can result in either of just two outcomes. The distribution applies to the number of trials that occur before the designated outcome occurs. For example, if you start flipping a fair coin repeatedly the negative binomial distribution gives the number of times you must flip the coin until you see 'heads'. There are also 'everyday' applications in inventory control and the insurance industry. Please see the link.
What is so negative about negative binomial distribution?
Nothing really. It concerns an experiment with identified success and failure probabilities (p and q), or Bernoulli trials, like the conventional binomial distribution. In an negative binomial experiment, the experiment is stopped after "r" successes occur in n trials. Thus, there must be r-1 successes in the first n-1 trials, and the final trial must be a success. This stopping event causes a n-1 and r-1 terms to appear in the factorial expressions of the distribution, which I suspect is the origins of calling this distribution a "negative binomial distribution." I would prefer to call this a Bernoulli experiment distibution with a stopping rule, but that's probably much too long. Some excellent websites provide examples and more discussion: http://mathworld.wolfram.com/NegativeBinomialDistribution.html http://stattrek.com/Lesson2/NegBinomial.aspx http://en.wikipedia.org/wiki/Negative_binomial_distribution Stattrek has very good examples. Note the distribution can be expressed in a number of forms.
Can the F distribution be negative?
The F distribution can't be negative.
Which line has no endpoint and goes on forever?
A line representing any polynomial function, power function (including negative powers), trigonometric functions, most continuous probability distribution functions.
What are the pros and cons of discrete probability distribution?
Strictly speaking, there are no cons because they are defined for discrete variables only. The only con that I could think of is the difficulty evaluating the moments and other probabilities for some discrete distributions such as the negative binomial.
Define binomial theorem?
The binomial theorem describes the algebraic expansion of powers of a binomial: that is, the expansion of an expression of the form (x + y)^n where x and y are variables and n is the power to which the binomial is raised. When first encountered, n is a positive integer, but the binomial theorem can be extended to cover values of n which are fractional or negative (or both).
What has the author JOSEPH HILBE written?
JOSEPH HILBE has written: 'NEGATIVE BINOMIAL REGRESSION'
Can the expected value of a discrete probability distribution be negative?
Yes it can be negative.
What is the meaning binomial?
A binomial is a polynomial with two terms. It is an algebraic expression consisting of two terms connected by either addition or subtraction. It is commonly seen in the form of (a + b)^n in binomial theorem, where a and b are variables and n is a non-negative integer.
Is Sin a negative function or positive?
negative
Is a theoretical normal distribution ever negative?
Yes.
