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Page 1: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results
Page 2: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results
Page 3: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results
Page 4: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results
Page 5: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results
Page 6: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results
Page 7: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results
Page 8: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results

0 20 40 60 80 100

05

1015

2025

t

N(t)

Page 9: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results
Page 10: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results
Page 11: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results
Page 12: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results
Page 13: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results
Page 14: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results
Page 15: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results
Page 16: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results
Page 17: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results

N(t)

t

k2N(t) = k 2

k1

B L(t)

= k1+ t

tl tl+ 1 T(1)

sample

path

(0, 0)

Page 18: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results
Page 19: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results
Page 20: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results
Page 21: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results
Page 22: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results
Page 23: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results
Page 24: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results

N(t)

t

mN(t) = m

k1

B L(t)

= k1+ t

k2

B U(t)

= k 2+ t

l k (l 1)k k l (l + 1)

k = k 1 + k 2

m = (l 1)k + k 2

l = (m + k 1)/k

(0, 0)

Page 25: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results
Page 26: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results
Page 27: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results
Page 28: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results
Page 29: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results
Page 30: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results
Page 31: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results
Page 32: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results
Page 33: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results
Page 34: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results
Page 35: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results
Page 36: Zacks-talk-seq. ReliabilityLargerarchive.stat.uconn.edu/qprc17/media/slides/Zacks-talk...Shifted- exponential, Erlang, Weibull, Extreme-Value, etc. In the present lecture we show results