I looked at the distribution of transactions of 1 hour of the block chain (269609 to 269618). I parsed the blockchain into two sets of transactions: originating and receiving addresses. I examined both sets independently and together, attempting to fit the three different trials to Gamma distributions. The receiving addresses proved to have the easiest to interpret set of data, and did not follow a Gamma distribution. Instead, the receiving transactions followed a Log-Normal distribution. Figure 1 shows the results of the data and the resulting fit. The data in figure 1 was parsed into blocks that are 2dB wide (every decade of transactions size is 5 bins, the first bin is BTC, 1BTC is the 30th bin)

Figure 1, Receiving address distribution of bitcoin transactions blocks 269609 to 269618 with Log-Normal fit

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