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Statistical inference is the process of drawing conclusions from data that are subject to random variation, for example, observational errors or sampling variation.

Inferential statistics are used to test hypotheses and make estimations using sample data. Whereas descriptive statistics describe a sample, inferential statistics infer predictions about a larger population that the sample represents.

The outcome of statistical inference may be an answer to the question "what should be done next. For the most part, statistical inference makes propositions about populations, using data drawn from the population of interest via some form of random sampling. More generally, data about a random process is obtained from its observed behavior during a finite period of time. Given a parameter or hypothesis about which one wishes to make inference, statistical inference most often uses:In statistics, regression analysis is a statistical process for estimating the relationships among variables.

It includes many techniques for modeling and analyzing several variables, when the focus is on the relationship between a dependent variable and one or more independent variables. More specifically, regression analysis helps one understand how the typical value of the dependent variable (or 'criterion variable') changes when any one of the independent variables is varied, while the other independent variables are held fixed.

Less commonly, the focus is on a quantile, or other location parameter of the conditional distribution of the dependent variable given the independent variables. Many techniques for carrying out regression analysis have been developed. Nonparametric statistics are statistics not based on parameterized families of probability distributions. They include both descriptive and inferential statistics. The typical parameters are the mean, variance, etc.

Unlike parametric statistics, nonparametric statistics make no assumptions about the probability distributions of the variables being assessed. Non-parametric methods are widely used for studying populations that take on a ranked order (such as movie reviews receiving one to four stars).

The use of non-parametric methods may be necessary when data have a ranking but no clear numerical interpretation, such as when assessing preferences. In terms of levels of measurement, non-parametric methods result in "ordinal" data. As non-parametric methods make fewer assumptions, their applicability is much wider than the corresponding parametric methods.

In particular, they may be applied in situations where less is known about the application in question.

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Also, due to the reliance on fewer assumptions, non-parametric methods are more robust. Another justification for the use of non-parametric methods is simplicity. In certain cases, even when the use of parametric methods is justified, non-parametric methods may be easier to use.

Due both to this simplicity and to their greater robustness, non-parametric methods are seen by some statisticians as leaving less room for improper use and misunderstanding. Mathematical statistics has substantial overlap with the discipline of statistics.

Statistical theorists study and improve statistical procedures with mathematics, and statistical research often raises mathematical questions. Statistical theory relies on probability and decision theory. Mathematicians and statisticians like Gauss, Laplace, and C. New York: John Wiley and Sons. John Wiley and Sons, New York. Testing Statistical Hypotheses (2nd ed. Theory of Point Estimation (2nd ed. Mathematical Statistics: Basic and Selected Topics. Asymptotic Methods in Statistical Decision Theory.

Statistical Decision Theory: Estimation, Testing, and Selection. If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Statistical pocketbook Journal "Voprosy Statistiki" Additional information THE GREAT PATRIOTIC WAR.The market is likely to move into deficit in the first half next year by an estimated 600,000 bpd, said the International Energy Agency (IEA), as long as OPEC and non-OPEC producers manage to (and are willing to) stick to promised cuts.

In its latest Short-Term Energy Outlook from December 6, the U. BofA Merrill Lynch also factors in a rebound of the U. As always, the game of predicting oil prices will have its winners and losers next year, too.

But 2017 has some major wildcards for oil prices in store, including, but not limited to: Would OPEC stick to promised cuts. Would those cuts rebalance the market at some point next year. Even if they start the year with sticking to cuts, would some OPEC and non-OPEC producers start cheating and renege on pledges once they see more revenues at higher oil prices and be tempted to get more revenue. How would this affect global supply and oil prices.

How would OPEC react to the U. Next PostOilfield Services To See Spending Surge In 2017 Tsvetana is a writer for the U. How many would be needed to be added back to increase production commensurate with OPEC cuts.

How much capex would it take reactivate over 1000 rigs. Can the shale producers really increase production to an extent to obviate the OPEC cut when LESS capex is being spent. How long will it take to gets those new rigs up and running and producing.

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Phil Currie on December 23 2016 said: Craig Ferrell is correct. One more thing to add to his comments. Where will all the people come from to run these rigs to bring back this oil production. Many have left the industry, some will flock back, but not all.

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I do not see the rig count in the US going over 1000 for a very long time, if ever again. The pundit class never seems to be interested in talking about how accurate they have been, and that's not aimed at you personally Ms.

Craig Ferrell on December 23 2016 said: Thanks Phil. Couldn't fit in previous comment field the aspect of financing. Banks review borrowing base twice a year, and cut back last fall based on lower prices. By the time they re-evaluate in spring with higher bases and presumably more ability to spend on capex, the 1st round of OPEC cuts will already be in the books.

It will take a bit longer than assumed, and thus higher oil prices. James kaiser on December 23 2016 said: I agree with Craig and Phil. The big thing Oil Shale requires is CAPEX.

You have to spend big money to make big money. They either have to make the money or borrow it. They can't produce enough to drill, and banks aren't going to lend them money OR they're already extended their credit to the limit. Also, companies are inherently conservative. The industry might be short sited at times, but it's still runs to make a profit, and until there's enough revenue and cash flow coming back OUT of oil shales, banks and company executives will hesitate to or won't be able to spend like it's 2014.

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As in the past the abusers will go all the way. Alex on December 29 2016 said: I would not rely too much on rig count considering new technology of horizontal drilling. Plus, there are a lot of wells that have been drilled, and now require frac jobs with lower than drilling costs.MoreThank Tracy K EncinitasTravellers31Reviewed 1 week ago French Quarter and St.

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That's because the Army football team does not go into its 3 p. ET game at Lincoln Financial Field in Philadelphia with the great weight of a long losing streak hanging over its head. The game will be televised by CBS.

Army (8-3) ended its 14-game losing streak to Navy (6-5) a year ago with a 21-17 triumph, and it will try to reverse the momentum in the series by turning that victory into a two-game winning streak. Army has not had a winning streak in the series since taking five games in a row from 1992 through 1996. The Black Knights trail 60-50-7 in the all-time series between these two service academies.

These teams are mirror images of each other, as both academies run the option attack and are going to run the ball on most plays. Army leads the nation in running with 4. The Black Knights also rank fourth in time of possession.

Navy also uses the run as its primary weapon and has gained 3,822 yards this season. Middie quarterback Zach Abey is more likely to put the ball in the air than Army signal-caller Ahmad Bradshaw. Bradshaw threw just 39 passes this season, completing 12 of them for 259 yards with one touchdown and two interceptions. However, he ran for 1,472 yards while averaging 7. Running back Darnell Woolfolk is a key contributor for Army with 668 yards and 11 touchdowns.

Kell Walker and Andy Davidson have both rushed for more than 500 yards while combining for 10 touchdowns. Abey has completed 30 of 70 passes for 803 yards, and he has seven TD passes along with seven interceptions. He is quite a force on the ground, gaining 1,322 yards while averaging 4. Malcolm Perry is a huge factor with 818 yards, an 8.

Chris High added 494 yards and two scores, while Anthony Gargiulo has rushed for 383 yards and three touchdowns. The two teams will likely take turns hammering each other with the running game, and the team that can come up with a couple of stops at the most opportune moments is likely to come away with the win.

Navy, which has played a more challenging schedule, is a three-point favorite with a total of 44.

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The key to this game will be the execution of the triple-option by both teams. The team that runs the ball more effectively with the fewest mistakes is almost certainly going to win. However, the passing game, which seems to matter less to these two teams than any other pair in the nation, may have something to say.

The passing game can't be an afterthought for either team. If Army can complete two or three passes in this game, it could give them the opportunity to stretch their winning streak in the series to two games. However, If Abey throws one or two TD passes that result in quick scores, that could turn things in Navy's direction.Against the Bulls on Wednesday, Indiana needed a heroic late 3-pointer from Victor Oladipo, who pulled up on the fastbreak and stole a victory from the struggling Chicago squad.

But come Friday, Indiana faces one of its toughest tests of the season: a rolling Cleveland Cavaliers (18-7) team that has won 13 in a row after a desultory start to their season. The seemingly ageless LeBron James enters Friday night on pace for one of his most statistically dominant seasons of his career. The 13-time All-Star is now averaging 28 points, 7. The Pacers enter Friday's test against a division rival on a solid stretch of play as well, having won eight of their last 11 contests.

Indiana's 3-point shooting has been a key to its success all season long. The Pacers have knocked down 40 percent of their threes this year, the second best mark in the league, trailing only the Golden State Warriors. Pacers: PG - Darren Collison, SG - Victor Oladipo, SF - Bojan Bogdanovic, PF - Thaddeus Young, C - Myles TurnerCavaliers: PG - Jose Calderon, SG - JR Smith, SF - Jae Crowder, PF - LeBron James, C - Kevin LovePacers: Myles Turner - questionable (sore right calf), Cory Joseph - questionable (sore left shoulder), Glenn Robinson III - out (left ankle surgery rehabilitation), Edmond Sumner - out (left knee surgery rehabilitation)Cavaliers: Derrick Rose - out (left ankle sprain), Iman Shumpert - out (left knee arthroscopic surgery), Isaiah Thomas - out (right hip), Tristan Thompson - out (left calf strain)On April 11, 2012, the Pacers began a nine-game win streak against the Cavaliers that would last until March 2014.

Furthermore, the Cavs only won three games from 2010-15 against the Pacers. November 1, 2017: On the second night of a back-to-back, playing against a well-rested Cavaliers team, the Pacers notched their biggest win of the season, toppling the reigning Eastern Conference Champion Cleveland Cavaliers 124-107 at Quicken Loans Arena. We played the game the right way. We talk about that all the time, you play the game the right way and normally good things happen.

The Pacers continue their six-game homestand with a matchup against LeBron James and the Cleveland Cavaliers on Friday, Dec. The Game Night Special can be purchased at the Pacers Team Store on game day as well as online from 10:00 AM-Midnight.

Game Night Specials can be purchased online the day of each away game from 10:00 AM - Midnight. No portion of NBA. Projected Starters Darren Collison Victor Oladipo Bojan Bogdanovic Thaddeus Young Myles Turner Jose Calderon JR Smith Jae Crowder LeBron James Kevin Love Pacers: PG - Darren Collison, SG - Victor Oladipo, SF - Bojan Bogdanovic, PF - Thaddeus Young, C - Myles TurnerCavaliers: PG - Jose Calderon, SG - JR Smith, SF - Jae Crowder, PF - LeBron James, C - Kevin Love On April 11, 2012, the Pacers began a nine-game win streak against the Cavaliers that would last until March 2014.

TagsCavaliers, Pacers, 2017-18 Game Preview Related Content CavaliersOladipo's Star Continues to RiseGame Rewind: Pacers 106, Cavaliers 102 PacersPractice: Oladipo, Pacers on a RollPostgame: Pacers Locker Room - Dec.

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