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Moose in Little Cottonwood Canyon
npatwari
102 views
This moose was at Alta, on Friday, July 9.
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Poisson Process Example: Additional Wait Time
npatwari
4,172 views
What is the pdf of the additional wait time until the first arrival of a Poisson Process, given that you've waited until time "t" already? It turns out this additional wai...
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Poisson Processes: Exponential Interarrivals Property
npatwari
2,954 views
How to derive the property of Poisson processes that the time until the first arrival, or the time between any two arrivals, has an Exponential pdf.
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Poisson Processes: Independent Increments Property
npatwari
2,334 views
The statement of the "independent increments" property for a Poisson Process. When looking at the number of arrivals in time interval (0, t) and the number of arrivals in ...
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Poisson Processes Derivation
npatwari
2,912 views
How to derive the pmf of the Poisson random process from the pmf of an approximating Binomial random process, by letting the block duration go to zero.
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Poisson Processes Definition and Intro
npatwari
2,931 views
An introduction to Poisson Processes, including applications. How they are obtained by approximating as a Binomial R.P. by letting the block size go to zero. The pmf of a...
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Bernoulli and Binomial Random Processes
npatwari
1,388 views
This presentation shows how a Binomial RP is what comes from a Bernoulli RP when it goes through a cumulative sum operation. In general, the Binomial R.P. is a discrete-ti...
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Random Processes: Intro
npatwari
1,518 views
Random Processes (RPs) are either discrete time or continuous time; and either discrete-valued or continuous valued. Discrete-time RPs are just like random vectors, but wi...
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Multivariate Gaussian Random Vectors - Part 1 - Definition
npatwari
2,382 views
The definition of a multi-variate Gaussian random vector is presented and compared to the Gaussian pdf for a single random variable as we've studied in past lectures.
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Multivariate Gaussian Random Vectors - Part 2 - Properties
npatwari
1,331 views
Three important properties of a Gaussian Random Vector.
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