5 Pages

# order-statistics-notes

Course Number: STA 4502, Spring 2011

College/University: University of Florida

Word Count: 1598

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Order statistic - Wikipedia, the free encyclopedia 10/12/2006 06:21 PM Order statistic From Wikipedia, the free encyclopedia In statistics, the kth order statistic of a statistical sample is equal its kth-smallest value. Together with rank statistics, order statistics are among the most fundamental tools in non -parametric statistics and inference. Important special cases of the order statistics are the minimum...

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University of Florida - STA - 4502
An Introduction to RNotes on R: A Programming Environment for Data Analysis and Graphics Version 2.5.1 (2007-06-27)W. N. Venables, D. M. Smith and the R Development Core TeamCopyright Copyright Copyright Copyright Copyrightc c c c c1990 W. N. Venable
University of Florida - STA - 4502
SYLLABUS Fall2009 STA4502NonParametricMethods STA5507AppliedNonParametricMethods MeetingTimes:MWFPeriod6andoptionalLabWPeriod7 Classroom:MatherlyHall(MAT)0105 ComputerLaboratory:McCartyHallB(MCCB)2103 Instructor:Dr.MinjungKyung,226GriffinFloyd,kyung@stat.
University of Florida - STA - 4502
Tukeys HSD Critical Values: q(alpha, k, df)*The c ritical values f or q c orres ponding to alpha = .05 (top) and alpha = .01 (bottom) df 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 24 30 40 60 120 in f i ni ty k= Number o f Treatments 2 3 4 5 3.64 5.70 3.
University of Florida - MAE - 3811
University of Florida - MAE - 3811
University of Florida - MAE - 3811
MahoneyExam 01Name: _MAE3811 Spring 2010 UFUF ID: _ _ _ _ _ _ _ _Print your full name and UFID # at the top of the page.You will have 50 minutes [possibly extra if the next class isnt busting down the door] tocomplete this exam.When you receive th
University of Florida - MAE - 3811
Exam 02 Practice KeyFill-in The Blank1.2.3.4.5.6.Decimal PointModular ArithmeticWholeBreaking Up And BridgingMental MathematicsRealMultiple Choice:1.2.3.4.5.6.7.8.9.10.11.12.13.DBCABCBBADDAA7.8.9.10.11.12.Rat
University of Florida - MAE - 3811
1/13/2010MAE 3811 Sp. 2010 MahoneyIn general, Mathematics is an over simplification of the world. Ituse symbols and ideas to model real situations and problem.Our first topic, Logic (Section 1-3), is an example of howmathematics does this with langua
University of Florida - MAE - 3811
1/13/2010MAE 3811 Sp. 2010 MahoneyMeat and PotatoesLets practice evaluating the truth table of a really complicatedlooking compound statement to make it simple, its only givenin symbols:MAE 3811 Sp. 2010 MahoneyLogical EquivalenceTwo statements ar
University of Florida - MAE - 3811
1/13/2010MAE 3811 Sp. 2010 MahoneyLast time we saw that the following pairs of compound statements wereequivalent. The last town are known as De Morgans LawsWe can use these laws like formulas to change one compound statement inone form to anotherMA
University of Florida - MAE - 3811
MAE3811Sp. 2010 Mahoney1Last time we talked about Arguments and QuantifiersAll Chihuahuas are dogs.Pepper is a Chihuahua.Therefore, Pepper is a dog.In the broad sense, the Formal logic weve just learned is considered to be aFoundation of Mathematics
University of Florida - MAE - 3811
MAE3811Sp. 2010 Mahoney1How many subsets does a set have?Remember, the empty set is always a subset, in fact its usually a _subset.Is a set a subset of itself?Consider the set= cfw_1, 2, 3. Let S be a subset of this set. Lets examinethe possibiliti
University of Florida - MAE - 3811
MAE3811Sp. 2010 Mahoney1Last time we learned about set operations and the master set diagrams.Recall the two set Master Diagram:We can write each region as the intersection of A, B, and their compliments.We can also write A and B as the union of certa
University of Florida - MAE - 3811
MAE3811Sp. 2010 Mahoney1First, Some Leftovers.MAE3811Sp. 2010 Mahoney2Example: A pollster interviewed 900 university seniors who owned creditcards. She reported that 550 owned a gold card, 570 owned a platinum card,and 560 owned a standard card. Of t
University of Florida - MAE - 3811
MAE3811Sp. 2010 Mahoney1Recap.So last time we introduced number systems and looked at some examples. Number systems are extensions of [everyday] language that allow us tocount things. They consists of symbols and rules (properties). They initially on
University of Florida - MAE - 3811
MAE3811Sp. 2010 Mahoney1Recap.So last time we finished on this slideAll modern number systems are modeled and generalized off the Hindu-Arabic,and the Mayan and Babylonian systems would technically fit in this category.All require.A Base A set of s
University of Florida - MAE - 3811
MAE3811Sp. 2010 Mahoney1Recap.So last time we finished on this slideExamples:MAE3811Sp. 2010 Mahoney2Lets practice that some moreLets start simplerTo convert any number from base to another we need to know the place value inboth bases:Table of co
University of Florida - MAE - 3811
MAE3811Sp. 2010 Mahoney1ComputationWe will now spend a lot of time looking out how computation is performed. Timewilling I will also describe the abstract side of computation and algebra. So now isa good time to review the Group Properties.A Binary O
University of Florida - MAE - 3811
MAE3811Sp. 2010 Mahoney1Two actions are said to be _ of each other if performing oneaction right after another undoes the first action.Example: Pour Milk into a cup.VS.Pour milk back into Carton.Example:In the whole numbers, members dont have inver
University of Florida - MAE - 3811
MAE3811Sp.2010Mahoney1Twoactionsaresaidtobe_ofeachotherifperformingoneactionrightafteranotherundoesthefirstaction.Example:PourMilkintoacup.VS.PourmilkbackintoCarton.Example:Inthewholenumbers,membersdonthaveinverses.Inalessabstractway,thismeansthat
University of Florida - MAE - 3811
MAE3811Sp. 2010 Mahoney1Last Time. We defined Subtraction in terms of addition [and order] We looked at ways to interpret subtraction as Take Away and What to add We looked at pencil and paper algorithms for additionToday well look at pencil and pape
University of Florida - MAE - 3811
MAE3811Sp. 2010 Mahoney1So far. We looked at pencil and paper algorithms for addition, they rely on ournumerical systems place holder properties Weve discussed the group properties and weve looked at two operations onthe whole numbers. Addition has
University of Florida - MAE - 3811
MAE3811Sp. 2010 Mahoney1So far. Weve seen how multiplication can be thought of as repeated additions or as the area of a rectangular arrayToday well discuss distribution and divisionMAE3811Sp. 2010 Mahoney2DistributionThe distribution property over
University of Florida - MAE - 3811
MAE3811Sp. 2010 Mahoney1That Groovey Multiplication TableTake a look at the multiplication table for single digits. An unfortunate fact is thatthe majority of single digit products produces a two digit answer. Our base systemsaccommodates this though.
University of Florida - MAE - 3811
MAE3811Sp. 2010 Mahoney1That Groovey Division AlgorithmI dont care for your books example of the pencil and paper division algorithmits a little to nice. I will emphasize the caveats thoughAfter a few examples we will also see the so called short divi
University of Florida - MAE - 3811
MAE3811Sp. 2010 Mahoney1Mental Mathematics:These are _ or strategies for doing computation work in onesmind/head and not on paper. It includes _ of numbers.Why might this be useful? Seriously, share your opinions?Well review some of these and shows t
University of Florida - MAE - 3811
MAE3811Sp. 2010 Mahoney1Sorry youre here the Friday before Spring BreakI know Im such a downer!Math Teachers/Tutors/Disciples of the Science of Patterns need or rather shouldknow at least a little more math than the level they teach becausesome stuff
University of Florida - MAE - 3811
MAE3811Sp. 2010 Mahoney1Last TimeI just introduced you all to the final kid friendly charge/chip [ but really M &amp; Mand paycheck/bill ] model of the integersExample: 2 - -3 = 5MAE3811Sp. 2010 Mahoney2The Consequences for Pencil and Paper AlgorithmsW
University of Florida - MAE - 3811
MAE3811Sp. 2010 Mahoney1Last Time Multiplication (Number Line Model part III)Example 1:Move East at 2 mph4 hours from nowExample 2:Move East at 3 mph5 hours agoExample 3:Move West at 2 mph5 hour from nowExample 4:Moving West at 3 mph4 hours a
University of Florida - MAE - 3811
MAE3811Sp. 2010 Mahoney1Division for the IntegersIt is defined exactly the same as it was for whole numbersWHOLE #: Formally, for any whole numbers a and b, with b not equal to 0, a b = cif and only if c is the unique whole number such that bc = a.IN
University of Florida - MAE - 3811
MAE3811Sp. 2010 Mahoney1From Last time. Division In DepthRecall, it was recent, that for any integers a and b, with b not equal to 0, a b = c ifand only if c is the unique whole number such that bc = a.We say b divides a, written b | a, if, and only i
University of Florida - MAE - 3811
University of Florida - MAE - 3811
MAE3811Sp. 2010 Mahoney1Divisibility Test for 3 and 9 , part 1Is 333 divisble by 3? Lets check the old fashioned way.Is 333 divisble by 9? Again, Lets check the old fashioned way.MAE3811Sp. 2010 Mahoney2Divisibility Test for 3 and 9 , part 2Observe
University of Florida - MAE - 3811
MAE3811Sp. 2010 Mahoney1Prime Numbers and Composite NumbersTheorem: There are infinitely many primes.I think well skip the proof youve all been such good sports!Fundamental Theorem of Arithmetic: Each _ number can be writtenas a product of _ in one,
University of Florida - MAE - 3811
MAE3811Sp. 2010 Mahoney1Determining if a Number is Prime [More]The Sieve of EratosthenesThis is Tedious. Thats why it was last!This is an ancient algorithm for determining if a number is prime. You need a bigtable first.Locate the first Primenumber
University of Florida - MAE - 3811
MAE3811Sp. 2010 Mahoney1A ClockLets say there is only one hand on the clock,the hour hand. Ill draw it when its needed.If its 6 Oclock Now.5 hours from now it will be.?How could we write that as an arithmetic expression?5 hours ago it was?How coul
University of Florida - MAE - 3811
MAE3811Sp. 2010 Mahoney1Wrapping the Integers around the ClockLast time we saw that the clock, with its special clock addition, behaved like theintegers. Both are _ because you can do simple algebra on themboth. We can wrap the integers around the clo
University of Florida - MAE - 3811
MAE3811Sp. 2010 Mahoney1Im worried Im not going to sleep for the next threedaysSo last time we learned aboutThe set of _ numbers or _,WhereSpecial notes about positive and negatives:MAE3811Sp. 2010 Mahoney2How did we add and multiply:To Add:To W
University of Florida - MAE - 3811
MAE 3811Section 7641MWF5 NRN 250Instructor: Matt MahoneyOffice: 467 Little HallE-mail: gatormm@ufl.eduWebsite: www.math.ufl.edu\~gatormmOffice Phone: (352) 392-0281 X-237Office Hours: M, W, F @ 12:50 1:40 p.m (Period 6)Text: A Problem Solving App
University of Florida - MAE - 3811
MahoneyMAE3811 Spring 2010 UFMost of the Vocabulary for Exam 01Statement:Simple Statement:Compound Statement:Formal Logic:Logical Connective:Negation:Conjunction:Disjunction:Conditional:Logical Equivalence:De Morgans Law:Contra positive:Con
University of Florida - MAE - 3811
Exam 02 Word Bank With Completion SentencesThe following words is the Master Word Bank for Exam 02AlgorithmArray FormationAssociativeAxiomsBase Exponent PowerBinary OperationBreaking Up and BridgingBreaking Up the DividendCartesianClock Arithme
UNF - EML - 4501
PROBLEM 4-21Statement:Figure P4-9 shows an automobile wheel with two common styles of lug wrench being used totighten the wheel nuts, a single-ended wrench in (a), and a double-ended wrench in (b). In each case two hands arerequired to provide forces
UNF - EML - 4501
Machine Design, EML 4501Exam 1, 10/16/03Name:Student ID:1. For the beam below (use variables, DO NOT solve).a. Write the load function.b. Write the shear functionc. Write the moment functiond. Write the slope functione. Write the displacement fun
UNF - EML - 4501
PROBLEM 9-16aStatement:What are the maximum, minimum, and average power values for the shaft shown in FigureP9-2 for the data in row o f Table P9-1 if the shaft speed is 50 rpm?a1Units:rpm := 2 rad minGiven:Shaft speed := 50 rpmMinimum torqueT
UNF - EML - 4501
PROBLEM 11-6Statement:What will the pressure angle be if the center distance of the spur gearset in Problem 11-4 isi ncreased by 7%?Given:Tooth numbers:pinionN p := 27N g := 78gear1Diametral pitchPressure angleSolution:P1106.p d := 6 in :=
UNF - EML - 4501
PROBLEM 11-14Statement:shaft.If the gearset in Problem 11-3 transmits 125 HP at 1000 pinion rpm, find the torque on each1Units:rpm := 2 rad minGiven:Tooth numbers:pinionNp := 23Pinion speedp := 1000 rpmgearNg := 57Transmitted powerP := 125
UNF - EML - 4501
PROBLEM 12-30Statement:Given:_A 38-tooth helical gear is cut with a 25-degree-pressure-angle hob at a helix angle of3 0 deg. The hob has a standard diametral pitch of The resulting teeth have standard spur-gear4.dimensions in the normal plane. Find
UNF - EML - 4501
PROBLEM 4-23aStatement:A beam is supported and loaded as shown in Figure P4-11a. Find the reactions, maximumshear, maximum moment, maximum slope, maximum bending stress, and maximum deflection for the data giveni n row a from Table P4-2.69Units:N
UNF - EML - 4501
PROBLEM 5-1aStatement:A differential stress element has a set of applied stresses on it as indicated in row o f TableaP5-1. For rowa , draw the stress element showing the applied stresses. Find the principal stresses and the vonMises stress.Given:x
UNF - EML - 4501
PROBLEM 6-2cStatement:For the strength data in row i n Table P6-2, calculate the uncorrected endurance limitaa nd draw the strength-life S-N) diagram for the material, assuming it to be steel.(3Units:ksi := 10 psiGiven:Tensile strengthSolution:
UNF - EML - 4501
UNF - EML - 4501
UNF - EML - 4501
UNF - EML - 4501
UNF - EML - 4501
EML 4501 Section 02Machine DesignQuiz 2, 9/18/03LFawName:Student ID:xKeep all equations invariable form. Hence, novalues are necessary.For the beam in the figurewrite/determine:1.2.3.4.5.6.7.The loading function using singularity fun
UNF - EML - 4501
EML 4501 Section 02Machine DesignQuiz 3, 9/25/03PName:Student ID:The figure shows a 1.5-in-dia, 30-in-long steel rod subjected to tensile loadsP = 10000 lb applied at each end of the rod, acting along its longitudinal Y axis andthrough the centroi
UNF - EML - 4501
Solution: EML 4501 Section 02; Machine Design; Quiz 4; 10/07/03A 10 mm inner-diameter steel tube carries liquid at 7 MPa. The steel has Sy = 400 MPa.Determine the safety factor for the wall if its thickness is 5mm. Assume the tubing islong and therefor
UNF - EML - 4501
Machine Design:MachineAn OverviewAnAlexandra Schnning, Ph.D.AlexandraPresentation OutlinePresentationIntroduction: What is Machine Design?3 Machine Design: Research Areas3 Research Applications:3 Gear Tooth FEM/FEA and Optimization Machine De
FIU - EEL - 4920
AN538Using PWM to Generate Analog OutputAuthor: Amar Palacherla Microchip Technology Inc.FIGURE 2:FREQUENCY SPECTRUM OF A PWM SIGNALFundamental component HarmonicsPulse Width Modulation (PWM) modules, which produce basically digital waveforms, can b
FIU - EEL - 4920
Concept Developmentand End ProductDescriptionConcept GenerationPortable Audio EqualizerObjectives1.Thesystemshouldhaveexcellentsoundquality.2.Thesystemshouldhaveeasyequalization3.Thesystemshouldbeoflightweight4.ThesystemshouldbelowcostConstr
FIU - EEL - 4920
D esign for M anufact ur abilit yD esign for M anufact ur abilit y Read about Design for M anufact ur abilit y.T he following ar e good r efer enced but not t heonly ones: ht t p:/www.npd-solut ions.com/dfmguidelines.ht ml I n par t icular point s 1