Can you please help: Suppose that X ∼ Geom(p). In chapter 2, we computed the CDF of X as FX(x) = 1 − (1 − p) x , for x = 1, 2, · · · . If p = λ/n, show that Y = X/n converges to an exponential distribution with parameter λ as n → ∞.
Can you please help: Suppose that X ∼ Geom(p). In chapter 2, we computed the CDF of X as FX(x) = 1 − (1 − p) x , for x = 1, 2, · · · . If p = λ/n, show that Y = X/n converges to an exponential distribution with parameter λ as n → ∞.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter5: Graphs And The Derivative
Section5.3: Higher Derivatives, Concavity, And The Second Derivative Test
Problem 63E
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Can you please help:
Suppose that X ∼ Geom(p). In chapter 2, we computed the CDF of X as FX(x) = 1 − (1 − p)
x
,
for x = 1, 2, · · · . If p = λ/n, show that Y = X/n converges to an exponential distribution with
parameter λ as n → ∞.
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