Introduction to Probability and Statistics 131B Lecture 3

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Introduction to Probability and Statistics 131B Lecture 3
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Mathematics Sampling (statistics)
Covering space Dependent and independent variables Standard deviation Divisor Multiplication sign Sampling (statistics) Analytic set Mortality rate Mereology Term (mathematics) Different (Kate Ryan album) Square number Right angle Summierbarkeit
Point (geometry) Functional (mathematics) Group action Decision theory Multiplication sign Insertion loss Mereology Theory Number Frequency Mathematics Population density Positional notation Arithmetic mean Circle Absolute value 5 (number) Alpha (investment) Area Distribution (mathematics) Normal distribution Sampling (statistics) Mortality rate Measurement Flow separation Approximation Arithmetic mean Normal (geometry) Right angle Bounded variation Arithmetic progression
Sigma-algebra Multiplication sign Expression Sampling (statistics) Mortality rate Inequality (mathematics) Hand fan Spherical cap Different (Kate Ryan album) Term (mathematics) Ranking Lie group Table (information) Resultant
Point (geometry) Estimator Group action Standard deviation Arithmetic mean Sigma-algebra Average Decimal Sampling (statistics) Square number Mereology Number
Area Uniformer Raum Term (mathematics) Multiplication sign Square number 3 (number) Water vapor Flow separation
Trail Multiplication Sigma-algebra Multiplication sign Expression Moment (mathematics) Sampling (statistics) Set (mathematics) Variance Water vapor Special unitary group Proper map 2 (number) Number Estimator Numeral (linguistics) Many-sorted logic Term (mathematics) Square number Right angle Maß <Mathematik>
Point (geometry) Divisor State of matter Multiplication sign Water vapor Dichotomy Solid geometry Grothendieck topology Number 19 (number) Estimator Positional notation Spherical cap Operator (mathematics) Square number Algebra Area Sampling (statistics) Commutator Staff (military) Line (geometry) Mortality rate Voting Right angle Table (information) Near-ring
Multiplication sign Order (biology) Directed graph
Root Drop (liquid) Resultant
Multiplication sign Sampling (statistics) Cuboid Associative property Wave packet
Sequel State of matter Physical law Object (grammar) Maß <Mathematik> Number
Area Supremum Multiplication sign Total S.A. Mereology Vibration Number Goodness of fit Positional notation Order (biology) Normal (geometry) Right angle Table (information) Pressure Family
Point (geometry) Network topology Square number Sampling (statistics) Mortality rate Number
Statistical hypothesis testing Geometry Functional (mathematics) Observational study Multiplication sign 1 (number) 3 (number) Mereology Variance Number Prime ideal Mathematics Coefficient of determination Estimator Goodness of fit Spherical cap Term (mathematics) Square number Cuboid Differential equation Perimeter Process (computing) Closed set Sampling (statistics) Perturbation theory Cartesian coordinate system Measurement Approximation Arithmetic mean Doubling the cube Physicist Right angle Pressure Family
Geometry Area Functional (mathematics) Process (computing) Wage labour Divisor Sequel Multiplication sign Thermal expansion Open set Variable (mathematics) Approximation Grothendieck topology Number Spherical cap Vector space Term (mathematics) Order (biology) Square number Right angle Figurate number Lie group Near-ring Directed graph
Area Functional (mathematics) Divisor Multiplication sign Valuation (algebra) Mortality rate 2 (number) Mixture model Sign (mathematics) Many-sorted logic Spherical cap Well-formed formula Oval Order (biology) Cuboid Series (mathematics) Renewal theory
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answerable where Razorbacks resists but there's a flaw in using that as a conference call that duo computer yet to able say or get Axel number I've left and right and point where the numbers are not but this and Ms. cover Sigma Sigma and we don't know Sigma so defined wait estimates of various effects are where to find a way to that that OK so boy with NAS shit they know everywhere was a sample
swear few was day data from a sample some Arthur S. Grant said that's part by unbiased as mayor of that means that whatever I use for the estimate some be some parts of data expected value of about should be the very part another words expected by West where should be covered from or where to go over some functionally excise there about Igel vacillate resurrects foreigners expected value should be the thing were every replace Razorbacks here that estimate so well but starter where is he fell say at but square people too 1 over Air some 5 equal 1 2 and minus sectors squared if this ZEO average squared deviations from the mean average square deviation from me is deviation from the mean square for the ice venerable when Adam 0 up these squared deviations and by having reads as the average square deviation from means will with with from the settlement of DEC's saw bob This is a fist City captors somehow but the various APEC parte best appear expected by
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air means that they are source as late as a success virus equal delaying its posters OK so it is that the proceeding With Carey based go but 1st I guess wake and capsule Hussein was caught some both sides we cancel little on both sides waiting gets a little capital and minus 1 on both sides parent where does the star I virus number air crew that for who OK so here's our hats weirdo spot piracy whose water we get I had for X Y Y Smith back 0 4 with now but With with each with a quote if if with with before his trip with God with food for sure that Byron rearranging things and thought to theirs 5 foot BEN minus 1 from being missing the slaughter Iran's comes out here and then the rest of city goes over here I have accounted for a and reason to do this is the same parenthesis-free already that's our friend s where which only in the case was the unbiased estimator for the various overland Times as saying I guess I could rewrite that is 1 minus the letter Kaplan says this thing is far less squared with fight so are unbiased estimator resists some rights but they were put back with but but but but but but but but but but but but but but how how old is she or old older it is a low a colleague Zabel Reyes a so-called the sample areas and they a better KaiserTech a solid effort population down Bicester assembled a sovereign states but there's this population correction factor in a case of like OK so Indiana Maryland well what is our staff reasonable road bike so we replace selects bar by the unbiased estimator for and thus kill both big givers named S X square is defined commuters 3 lines means that the fight to be that's the definition back to 4 4 with a 4 4 0 0 but for the . like a bird SX bar areas but hazardous for Dole but but he over with a the day so everything in here can be computed from needed data the sample for the table for a normal the station CXR bar and yes back spa are computable from the sample so you could actually area near his South up there you could do it because it had various that bar which was the city squares you don't know what your vote but some replaced by something we get from the data past 3 estimated rates bus sparked by a select spots where would place respect our bites on unbiased at and Nairobi Conference what today so it's either break of the see I it back be adjusted to what problems are due on Monday we haven't gotten were covered all material salt or reduce the problems of the OK let's thus . joined fire this us path to lure were very dichotomy is faced crew they
also all 4 days then said a mule user notation gay hat for x bar at Yaddo as is lesser later bye says therefore virtual population portion for what which at sir but with well the 4 or the that's cap but there what would guess Square D in this case but but that but so are examples of this you do I know what course of operations 1st a chocolate I standard the Mandela said sorry to Newt individual gets a wonderfully light chocolate rather than allies fame is 0 forget that I know better than you sample people nestled you like soccer better than our basic topic want that person here once they said LU 0 so severe people that talk to open up their more Porter examples but when new people respond to our medications or are you might assign a 1 person recovers from analysts ethereal and a medication and 0 they don't stop yet would force the population of your sample that up recovered when given a certain medication other exempt might we public opinion polling more serious than wealth said what could be more serious ice and preferences president-elect OK so I would ask where In this case which with but offered with with with With so old or toxic yes or no With yet 1 I will With With so this still that didn't on economists were not at if it were Birnell bug what's Piatt its water or enzymes Osama so some must be at times say during the summers and dance br piano already times Asansol but us I was 0 accessories I told yet no answer that's important point but site near Athens years
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sort introduced by thing since I have 6 minutes left lawyer Richard Hill is 1 thing that that would be a continued to be continued Oh yes a cup with but but over but sees as a function go to burgle Saleh ratios what also apply I love this formula to functions what Geo ex-wife you go wire or X so what do we need a bar GDP where indeed Of these EDX GUY seconder secularism wire and being mixed Craigslist computer goes for different a like that's weird wires y over X where just saying a 2nd time with DEC's remote a sign so it to wire rescue if we different take a suspect a why for all or old boy get minus 1 over X for a 1st day DGY a but it is sworn or acts and D squared G T Y squared as their own orca E E so using this formula here DEC's bar why are we get the prospective buyers ratio cap OR is approximately equal to um we XRY are everywhere sewage this rate being Hewitt's city borrower renewal X buyer plus stigma squared eggs bar or truly said lurid acts it is to wired bar over exit Q. plus say Well why bar squared over show and then the 2nd rural idea 0 farcical areas of acts bar y bar I a mixture of which was minus works but as diarrhea the use of X as you select bars so on exit outside side that mule so that saw new survive are orders for Laura Musa vexed by and this is the city's valuator at Musa it is tough about said so is cigarette spots where so outlawed by of twice the use of wife are divided by use of ex parte you get 2 times a 2nd rebel or the 1st what said rebels Y box 1st proposed it would be so expected IOR replace series by what is revealed new borrower be new while X bars new acts for appeared to his castle the various elects bar they were replaced by city Wexford squared earlier news while over new wise use of X Q we're here with wouldn't say where ex-wife what over use that squared we divide followed by with factor use of acts uh new challenge calm but sir Our paradise formalist may be that we should keep this from and this is survived Fox where short that was writers formal but but the but what if so expected ratios approximately equal to the ratio of expected die use pass this pervasive trend by you would expect this to be Colorado which big new X over new wife some correction affirmed if secretary you ought to broad I should do Y or acts against a this would be that things would be OK but there's a Soros Crutzen away from that of bite so I think there's some
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