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The Lindberg Feller central limit theorem (CLT) for non-identically-distributed summands can be applied to generate a normal approximation characterized by the conditional mean and conditional variance; see Feller [18, p. 262]. For the normal approximation to be appropriate, we should check that the aggregate is not dominated by only a few sources. Let B t denote the (random) aggregate required bandwidth at time t, and let I 0 denote the (known deterministic) state information at time 0. Let B t jI 0 represent a random variable with the conditional distribution of B t given the information I 0 . By the CLT, the normalized random variable B t jI 0 E B t jI 0 p Var B t jI 0 17:2

problems posted to Bugtraq and other mailing lists run by security professionals (Bugtraq archives are available at www.geek-girl.com/bugtraq/). In terms of Java, the penetrate-and-patch machine is smoothly oiled (not that it represents the best approach to security, but that's another issue). Rest assured that the problems we discuss in this chapter have been fixed in the latest JVMs, including those packaged in Javaenabled browsers. That means if you're using an up-to-date version of your favorite browser, these specific problems won't affect you. On the flip side, if you're using an older browser like Netscape 2.x/3.x or Internet Explorer 3.x, this chapter provides enough information about serious attacks that you really should upgrade immediately. Browsers are not patched; they are made obsolete through accelerated release of new versions. Using an old browser to surf the Web is like wearing a "kick me" sign to a fraternity party. Though these specific attacks are not likely to be your problem since they have been fixed, they indicate what sorts of things can go wrong and what the consequences are when things do go wrong. If more Java security problems are found in the future, they're likely to be similar to the ones presented here. Hopefully the industry can learn from its old mistakes and avoid reintroducing old holes (as often happens in computer security). Most of these problems were trivial to fix once they were discovered. Removing security bugs is like removing needles from a haystack: It's hard to find the needles, but they're easy to remove once you know where they are. To push the analogy a bit: It's obviously much better to find the needles before they stick you. This principle motivates our Java security research.

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is approximately normally distributed with mean 0 and variance 1 when the number of sources is suitably large. Since the conditional mean alone tends to be very descriptive, we use the approximation B t jI 0 % E B t jI 0 ; 17:3

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which can be justi ed by a (weaker) law of large numbers instead of the CLT. We will show that the conditional mean in Eq. (17.3) can be ef ciently computed, so that it can be used for real-time control. From Eq. (17.2), we see that the error in the approximation (17.3) is approximately characterized by the conditional standard p deviation Var B t jI 0 . We also will show how to compute this conditional standard deviation, although the required computation is more dif cult. If there are n sources that have roughly equal rates, then the conditional standard deviation will be p O n , while the conditional mean is O n . Given that our approximation is the conditional mean, and given that our state information does not include the state of the within-level variation process, the within-level variation process plays no role because it has zero mean. Let i index the source. Since the required bandwidths need not have integer values, we index the level by the integer j; 1 j Ji, and indicate the associated required bandwidths in the level by bij . Hence, instead of Eq. (17.1), the required bandwidth for source i can be expressed as Bi t biLi t WLi t t ; t ! 0: 17:4

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. Implementation Errors or Specification Errors Attack Applets What Applets Aren't Supposed to Do A Chronology of Problems Jumping the Firewall Slash and Burn You're Not My Type Applets Running Wild Casting Caution to the Wind Tag-Team Applets Big Attacks Come in Small Packages Steal This IP Number Cache Cramming Virtual Voodoo The Magic Coat Verifying the Verifier

i Let Pjk tjx be the probability that the source-i level process is in level k at time t given that time 0 it was in level j and had been so for a period x (i.e., the age or elapsed level holding time at time 0 is x). If j j1 ; . . . ; jn and x x1 ; . . . ; xn are the vectors of levels and ages of the n source level processes at time 0, then the state

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