Math/Stat 394‚ Winter 2011 F.W. Scholz Central Limit Theorems and Proofs The following gives a self-contained treatment of the central limit theorem (CLT). It is based on Lindeberg’s (1922) method. To state the CLT which we shall prove‚ we introduce the following notation. We assume that Xn1 ‚ . . . ‚ Xnn are independent random variables with means 0 and 2 2 respective variances σn1 ‚ . . . ‚ σnn with 2 2 2 σn1 + . . . + σnn = τn > 0 for all n. 2 Denote the sum Xn1 + . . . + Xnn by Sn and observe
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MAKE NEW FRIEND Order : Topical Order General Purpose : To inform Specific Purpose : To inform my audience about how to make new friends. Central Idea : Knowing the right steps on how to make new friend can help us to get many new friend. INTRODUCTION I. My father is a retired teacher. II. I have the privilege of staying in many different places. III. Changing schools‚ homes towns and‚ cities was a part of my growing up years. IV. I have many friends from various
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A Closer Look at We Were the Mulvaneys Joyce Carol Oates caught the hearts and attention of many when she wrote We Were the Mulvaneys. Oates was born during the Great Depression‚ a time when feminism and gender played a big role in her life. (Powers 333). Even as a small child‚ she enjoyed writing. She majored in English and eventually earned her master’s degree. Shortly after‚ she taught at the University of Detroit‚ University of Windsor‚ and at Princeton. Aside from her teaching career‚ she
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Hi‚ my name is Braden Spangle. I was born in Spokane at deaconess medical center on July 23rd in 1998. My parents are Dustin Spangle and Jodi Griggs. My step parents are Drew Griggs and Dawn Spangle. I have three siblings‚ my one year old sister Gleason‚ my brother Grady who is 10‚ and my step-brother Josh who is 7. My parents got divorced when I was nine. I play two sports at Mt. Spokane‚ I play basketball and baseball. During the fall I race motocross and I am currently sponsored. I also like to
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Equiano Equiano‚ as far as slaves go‚ was very lucky. Very few slaves of that time were treated as kindly as Equiano and throughout his years of enslavement he continually got passed from one kind master to another kind master. Equiano ’s continued good fortune can be traced to two good fortunes. The first would be being too young to get sold saving him from the likely fate of becoming a west indies plantation slave. The second lucky instance was having Captain Pascal spot Equiano and like him
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anything from your favourite pair of jeans to a cocktail dress and looks as good at night as during the day. When selecting a trench coat there are a few things to think about – keep it slim and make sure the shoulders are not sloppy and follow your natural shoulder line. A good classic trench needs a belt (if not it’s a mac!) and should have an inverted pleat at the centre back for ease of movement. To find a great trench coat for you‚ try Jaeger who have a range of options all retaining that classic
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never ever the same” (Unknown). What is a “best friend”? Almost everyone has one‚ and almost everyone is one. There’s something about a best friend that cannot be duplicated. Everyone has their own definition of what their own best friend is like and what an impact he or she has made in their life. In this essay I would like to take a better look at some of the simple things that we might take for granted when we think of our best friends.A best friend is a title held for the few and privileged. The
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Who do you first approach when you are down? Your friends? Is it really impossible to live without them? Is it necessary to make friends in the first place?Firstly‚ friends can help you develop character. With their company‚ they are able to influence you to become similar like them. For example‚ a teenager hangs around with good friends that are interested in studying. When the teenager is having problems in studies‚ his friends are able to help with places he is in doubt. Friends are also able
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Escape the Friend Zone Oh no! You are in love. But the object of your affection thinks of you as more of a brother or sister than anything else. What should you do? Maybe the following points will help you. ------------------------------------------------- Break the nice guy or sweet girl stereotype. Most guys and girls who find themselves in the friend zone are usually susceptible to many of the characteristics of the nice guy or sweet girl stereotype. Where you are romantically attracted to
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Look on the Bright Side. Throughout everyone’s life they are surrounded by negative people and their thoughts and numerous negative environments. It is your own choice as to whether you are going to see the world in a positive or a negative aspect. As for myself‚ I chose to try my best to live my life as an optimist. It is not realistic to say that I am an optimist about every single aspect of my life. However‚ there are many times in particular where I am optimistic about certain situations
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