First time here? Checkout the FAQ!

x

**ASK - ANSWER - COMMENT - VOTE - CREATE **

**Sites: Global Q&A | Wits | MathsGee Club | Joburg Libraries | StartUps | Zimbabwe | OER **

- Do Joburg libraries have an interlibrary book loan services?
- Besides lending books, what other services are offered Joburg libraries?
- Do I need to book to secure a study spot on one of the tables in Joburg libraries?
- Where do I return books I have borrowed?
- How do I check books out of any Joburg library?

Welcome to Joburg Libraries Q&A, a platform where the public can ask and answer Johannesburg Libraries questions as a community for better educational outcomes.

## Categories

## Data Science & Statistics

## Most popular tags

**On Joburg Libraries Q&A, you can:**

- Ask questions
- Answer questions
- Comment on Answers
- Vote on Questions and Answers
- Donate to your favourite users
- Create/Take Live Video Lessons

Posting on MathsGee

- Remember the human
- Behave like you would in real life
- Look for the original source of content
- Search for duplicates before posting
- Read the community's rules

NB: Joburg Libraries Q&A іѕ nоt іn аnу wау аffіlіаtеd wіth thе іnѕtіtutіоn fеаturеd оn thіѕ wеbѕіtе. It іѕ аlwауѕ rесоmmеndеd tо vіѕіt thе City of Johannesburg websites fоr mоrе іnfоrmаtіоn.

- All categories
- Alexandra 3rd Ave Library 0
- Alexandra 8th Ave Library 0
- Blackheath Library (Ward 88) 0
- Bosmont Library (Ward 82) 0
- Boskruin Library 0
- Brixton Library (Ward 69) 0
- Bryanston Library 0
- Coronationville Library (Ward 68) 0
- Cosmo City Library 0
- Davidsonville Library 0
- Diepsloot Library 0
- Diepkloof Zone 1 Library 0
- Diepkloof Zone 5 Library 0
- Dobsonville Library 0
- Eldorado Park Ext 2 Library 0
- Eldorado Park Ext 5 Library 0
- Emmarentia Library (Ward 87) 0
- Emndeni Library 0
- Ennerdale Ext 1 Library 0
- Ennerdale Ext 9 Library 0
- Florida Library 0
- Glenanda Library 0
- Halfway House Library 1
- Hillbrow Library 0
- Horizon View Library 0
- Ivory Park Library 0
- Ivory Park North Library 0
- Jabavu Library 0
- Johannesburg City Library 0
- Killarney Library 0
- Klipspruit Children's Library 0
- Klipfontein View 0
- Klipspruit West Library 0
- Lenasia Ext 1 Library 0
- Lenasia South Library 0
- Lenasia Ext 3 Library 0
- Linbro Park Library 0
- Linden Library (Ward 99) 0
- Malvern Library 0
- Mayfair Library 0
- Meadowlands Library 0
- Melville Library (Ward 88) 0
- Modderfontein Library 0
- Mofolo Library 0
- Murray Park Library 0
- Newlands Library (Ward 82) 0
- Noordgesig Library 0
- Norwood Library 0
- Norscot Manor Library 0
- Olivedale Library 0
- Orange Farm Library 0
- Orange Grove Reference Library 0
- Orlando East Library 0
- Parkhurst Library (Ward 117) 0
- Parkview Library (Ward 87) 0
- Pennyville Satellite Library (Ward 68) 0
- Phiri Library 0
- Pimville Library 0
- Poortjie Library 0
- Protea Glen Library 0
- Protea North Library 0
- Rabie Ridge Library 2
- Randburg Library (Ward 102) 0
- Rhodes Park Library 0
- Riverlea Library (Ward 68) 0
- Rivonia Library 0
- River Park Library 0
- Roodepoort Library 0
- Rosebank Library (Ward 117) 0
- Rosettenville Library 0
- Sandringham Library 0
- Sandton Library 0
- Savoy Library 0
- Southdale Library 0
- South Hills Library 0
- Strubensvallei Library 0
- Tshepisong Library 0
- Tshiawelo Library 0
- Westbury library (Ward 69) 0
- Weltevredenpark Library 0
- Wilro Park Library 0
- Witpoortjie Library 0
- Yeoville Library 0
- General Questions 41

**Answered: Can properties of stochastic processes, such as the martingale property, be generalized to a corresponding local property?***Posted on Tuesday September 21, 2021*

Many properties of stochastic processes, such as the martingale property, can be generalized to a corresponding local property. The local properties can be more useful than the original property...

Click Here To Read More.**Answered: What is meant by filtration of \(\sigma\)-algebras?***Posted on Tuesday September 21, 2021*

For an ordered set \(T\), a filtration of \(\left(\mathcal{F}_{t}\right)_{t \in T}\) is a collection of \(\sigma\)-algebras on an underlying set \(\Omega\), satisfying \(\mathcal{F}_{s}...

Click Here To Read More.**Answered: What is the filtered probability space?***Posted on Tuesday September 21, 2021*

A filtered probability space, or stochastic basis, \(\left(\Omega, \mathcal{F},\left(\mathcal{F}_{t}\right)_{t \in T}, \mathbb{P}\right)\) consists of a probability space \((\Omega, \mathcal{F},...

Click Here To Read More.**Answered: What is the strong law of large numbers?***Posted on Tuesday September 21, 2021*

A sequence of random variables \(X_{1}, X_{2}, \ldots\) with finite expectations in a probability space is said to satisfiy the strong law of large numbers if

\[

\frac{1}{n}...

**Answered: Prove the martingale convergence theorem***Posted on Tuesday September 21, 2021*

Let \(\left(X_{n}\right)_{n \in \mathbb{N}}\) be a supermartingale such that \(\mathbb{E}\left|X_{n}\right| \leq M\), and let \(a<b\). We define a random variable counting how many times the...

Click Here To Read More.
library
joburg
question
help
ask
answer
libraries
coj
address
ridge
rabie
lockdown
time
johannesburg
city
midrand
halfway
week
opening
quality
best
house
spaces
pandemic
safe
measures
re-opened
level-1
region-e
study
established
public
join
specialist
open
lending
central
times
hours
operating
reference